Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
54501	Find the Derivative of the Integral	y=(3+csc(x))/(7-csc(x))	$y = \frac{3 + \csc (x)}{7 - \csc (x)}$
54502	Find the Derivative of the Integral	integral from 1 to x^3 of 1/(1+ natural log of t) with respect to t	$\int_{1}^{x^{3}} \frac{1}{1 + \ln (t)} d t$
54503	Find the Derivative of the Integral	y = natural log of 9-5x	$y = \ln (9 - 5 x)$
54504	Find the Derivative of the Integral	y=(8x)/(3-cot(x))	$y = \frac{8 x}{3 - \cot (x)}$
54505	Find the Derivative of the Integral	y=(6-sec(x))/(tan(x))	$y = \frac{6 - \sec (x)}{\tan (x)}$
54506	Find the Derivative of the Integral	y=(8+sin(x))/(8x+cos(x))	$y = \frac{8 + \sin (x)}{8 x + \cos (x)}$
54507	Find the Derivative of the Integral	integral from 0 to x of f(t) with respect to t	$\int_{0}^{x} f (t) d t$
54508	Find the Derivative of the Integral	y=sin(x)^2+cos(x)^2	$y = \sin^{2} (x) + \cos^{2} (x)$
54509	Find the Derivative of the Integral	y = natural log of natural log of x^2	$y = \ln (\ln (x^{2}))$
54510	Find the Derivative of the Integral	y=4/(sin(x))+1/(cot(x))	$y = \frac{4}{\sin (x)} + \frac{1}{\cot (x)}$
54511	Find the Derivative of the Integral	integral from 0 to x of square root of t+t^3 with respect to t	$\int_{0}^{x} \sqrt{t + t^{3}} d t$
54512	Find the Derivative of the Integral	integral of square root of 25-x^2 with respect to x	$\int \sqrt{25 - x^{2}} d x$
54513	Find the Derivative of the Integral	ysin(y)=xy	$y \sin (y) = x y$
54514	Find the Derivative of the Integral	y=10/x+5sec(x)	$y = \frac{10}{x} + 5 \sec (x)$
54515	Find the Slope	x=a	$x = a$
54516	Solve Using the Square Root Property	(4x-7)^2=20	${(4 x - 7)}^{2} = 20$
54517	Find the Concavity	f(x)=29/(x^2+12)	$f (x) = \frac{29}{x^{2} + 12}$
54518	Find the Concavity	f(x)=9x^3-18x^2+9x+4	$f (x) = 9 x^{3} - 18 x^{2} + 9 x + 4$
54519	Find the Concavity	f(x)=x^3-9x^2+28x-30	$f (x) = x^{3} - 9 x^{2} + 28 x - 30$
54520	Write as a Single Logarithm	log base 5 of (9 fourth root of 11)/( cube root of 6)	$\log_{5} (\frac{9 \sqrt[4]{11}}{\sqrt[3]{6}})$
54521	Write as a Single Logarithm	log base 4 of x^2-49-6 log base 4 of x+7	$\log_{4} (x^{2} - 49) - 6 \log_{4} (x + 7)$
54522	Find the Derivative of the Integral	g(x) = integral from -12 to x of (4t-7) with respect to t	$g (x) = \int_{- 12}^{x} (4 t - 7) d t$
54523	Find the Derivative of the Integral	F(theta)=arcsin( square root of sin(17theta))	$F (θ) = \arcsin (\sqrt{\sin (17 θ)})$
54524	Find the Derivative of the Integral	y=arccos(e^(9x))	$y = \arccos (e^{9 x})$
54525	Find the Derivative of the Integral	y=x^2arcsin(x)	$y = x^{2} \arcsin (x)$
54526	Find the Derivative of the Integral	y=e^x-cot(x)	$y = e^{x} - \cot (x)$
54527	Find the Derivative of the Integral	y=( natural log of 3x+7)^3	$y = \ln^{3} (3 x + 7)$
54528	Find the Derivative of the Integral	y=15/( natural log of x)	$y = \frac{15}{\ln (x)}$
54529	Find the Derivative of the Integral	y=5x^2cos(x)cot(x)	$y = 5 x^{2} \cos (x) \cot (x)$
54530	Find the Derivative of the Integral	y=e^(ktan( square root of 7x))	$y = e^{k \tan (\sqrt{7 x})}$
54531	Find the Derivative of the Integral	y = natural log of 6+ natural log of x	$y = \ln (6 + \ln (x))$
54532	Find the Derivative of the Integral	q=sin(t/( square root of t+3))	$q = \sin (\frac{t}{\sqrt{t + 3}})$
54533	Find the Derivative of the Integral	limit as x approaches pi/2 of sin(sin(x))	$lim_{x \to \frac{π}{2}} \sin (\sin (x))$
54534	Find the Derivative of the Integral	f(x) = integral from x to x^2 of e^(t^4) with respect to t	$f (x) = \int_{x}^{x^{2}} e^{t^{4}} d t$
54535	Find the Derivative of the Integral	integral from 0 to infinity of (5sin(x))/x with respect to x	$\int_{0}^{\infty} \frac{5 \sin (x)}{x} d x$
54536	Find the Derivative of the Integral	integral from 5 to x^2 of 1/(t^3) with respect to t	$\int_{5}^{x^{2}} \frac{1}{t^{3}} d t$
54537	Find the Derivative of the Integral	f(x) = integral from 0 to xsin(x) of square root of 49-t^2 with respect to t	$f (x) = \int_{0}^{x \sin (x)} \sqrt{49 - t^{2}} d t$
54538	Find the Derivative of the Integral	y=64arcsin(x/8)-x square root of 64-x^2	$y = 64 \arcsin (\frac{x}{8}) - x \sqrt{64 - x^{2}}$
54539	Find the Derivative of the Integral	integral of log of x with respect to x	$\int \log (x) d x$
54540	Find the Derivative of the Integral	(d^111)/(dx^111)(sin(x))	$\frac{d^{111}}{d x^{111}} (\sin (x))$
54541	Find the Derivative of the Integral	(d^107)/(dx^107)sin(x)	$\frac{d^{107}}{d x^{107}} \sin (x)$
54542	Find the Derivative of the Integral	integral from 4 to x^2 of cos(t^2) with respect to t	$\int_{4}^{x^{2}} \cos (t^{2}) d t$
54543	Find the Derivative of the Integral	y = natural log of x^(7/2)	$y = \ln (x^{\frac{7}{2}})$
54544	Find the Derivative of the Integral	d/(dx) integral from 0 to x^2 of 1/(t^2+17) with respect to t	$\frac{d}{d x} \int_{0}^{x^{2}} \frac{1}{t^{2} + 17} d t$
54545	Find the Derivative of the Integral	y=cos((pix)^6)	$y = \cos ({(π x)}^{6})$
54546	Find the Derivative of the Integral	y = natural log of \|4+t-t^3\|	$y = \ln (\| 4 + t - t^{3} \|)$
54547	Find the Derivative of the Integral	y=e^x(sin(x)+cos(x))	$y = e^{x} (\sin (x) + \cos (x))$
54548	Find the Derivative of the Integral	y = natural log of 9+ natural log of x	$y = \ln (9 + \ln (x))$
54549	Find the Derivative of the Integral	y=(4x)/(5-tan(x))	$y = \frac{4 x}{5 - \tan (x)}$
54550	Find the Derivative of the Integral	y=e^(sin(x))	$y = e^{\sin (x)}$
54551	Find the Derivative of the Integral	integral of ( natural log of x)/( square root of x) with respect to x	$\int \frac{\ln (x)}{\sqrt{x}} d x$
54552	Find the Derivative of the Integral	y=e^(9x-1) natural log of 9x-1	$y = e^{9 x - 1} \ln (9 x - 1)$
54553	Find the Derivative of the Integral	integral from x to 3 of 1/t with respect to t	$\int_{x}^{3} \frac{1}{t} d t$
54554	Find the Derivative of the Integral	y=(4x)/(9-cot(x))	$y = \frac{4 x}{9 - \cot (x)}$
54555	Find the Derivative of the Integral	y=tan(4theta)^2	$y = \tan^{2} (4 θ)$
54556	Find the Derivative of the Integral	q=cos(t/( square root of t+8))	$q = \cos (\frac{t}{\sqrt{t + 8}})$
54557	Find the Derivative of the Integral	y = square root of x natural log of x	$y = \sqrt{x} \ln (x)$
54558	Find the Derivative of the Integral	sin(xy)=x^2-3	$\sin (x y) = x^{2} - 3$
54559	Find the Derivative of the Integral	integral from 4 to x of square root of 1+t^2 with respect to t	$\int_{4}^{x} \sqrt{1 + t^{2}} d t$
54560	Find the Derivative of the Integral	y=3x^2sin(x)tan(x)	$y = 3 x^{2} \sin (x) \tan (x)$
54561	Find the Derivative of the Integral	integral from 1 to 4x of square root of t^2+1 with respect to t	$\int_{1}^{4 x} \sqrt{t^{2} + 1} d t$
54562	Find the Derivative of the Integral	y = log base 8 of e^(-x)cos(pix)	$y = \log_{8} (e^{- x} \cos (π x))$
54563	Find the Derivative of the Integral	y=(tan(3x))/((x+7)^4)	$y = \frac{\tan (3 x)}{{(x + 7)}^{4}}$
54564	Find the Derivative of the Integral	integral of 8sin(x)^4cos(x)^2 with respect to x	$\int 8 \sin^{4} (x) \cos^{2} (x) d x$
54565	Find the Derivative of the Integral	d/(dx)(8x log of x^7)	$\frac{d}{d x} (8 x \log (x^{7}))$
54566	Find the Derivative of the Integral	y = log base 4 of e^(-x)cos(pix)	$y = \log_{4} (e^{- x} \cos (π x))$
54567	Find the Derivative of the Integral	y=tan(9theta)^2	$y = \tan^{2} (9 θ)$
54568	Find the Derivative of the Integral	y=(arctan(2x))/x	$y = \frac{\arctan (2 x)}{x}$
54569	Find the Derivative of the Integral	y=tan( square root of 7t)	$y = \tan (\sqrt{7 t})$
54570	Find the Derivative of the Integral	y=sin(xcos(x))	$y = \sin (x \cos (x))$
54571	Find the Derivative of the Integral	integral from -x to x of (t^2+t) with respect to t	$\int_{- x}^{x} (t^{2} + t) d t$
54572	Find the Derivative of the Integral	f(theta)=thetacos(theta)sin(theta)	$f (θ) = θ \cos (θ) \sin (θ)$
54573	Find the Derivative of the Integral	y=x^(8sin(x))	$y = x^{8 \sin (x)}$
54574	Find the Derivative of the Integral	y=bcos(t)+t^2sin(t)	$y = b \cos (t) + t^{2} \sin (t)$
54575	Find the Derivative of the Integral	y=e^(9xcos(x))	$y = e^{9 x \cos (x)}$
54576	Find the Derivative of the Integral	y=x^(4sin(x))	$y = x^{4 \sin (x)}$
54577	Find the Derivative of the Integral	y=7^(sin(x^2))sin(x^2)	$y = 7^{\sin (x^{2})} \sin (x^{2})$
54578	Find the Derivative of the Integral	integral from x to x^2 of t^2 with respect to t	$\int_{x}^{x^{2}} t^{2} d t$
54579	Find the Derivative of the Integral	y=(6x)/(1-cot(x))	$y = \frac{6 x}{1 - \cot (x)}$
54580	Find the Derivative of the Integral	y=9x^2cos(x)cot(x)	$y = 9 x^{2} \cos (x) \cot (x)$
54581	Find the Derivative of the Integral	y=(sin(x)+2cos(x))/(tan(x))	$y = \frac{\sin (x) + 2 \cos (x)}{\tan (x)}$
54582	Find the Derivative of the Integral	d/(dx)(csc(x))=-csc(x)cot(x)	$\frac{d}{d x} (\csc (x)) = - \csc (x) \cot (x)$
54583	Find the Derivative of the Integral	integral from 1 to 2x of (t^2)/(t^2+1) with respect to t	$\int_{1}^{2 x} \frac{t^{2}}{t^{2} + 1} d t$
54584	Find the Derivative of the Integral	y=arccos(10/x)	$y = \arccos (\frac{10}{x})$
54585	Find the Derivative of the Integral	y = natural log of sin(theta)	$y = \ln (\sin (θ))$
54586	Find the Derivative of the Integral	y=10^(sin(pix))	$y = 10^{\sin (π x)}$
54587	Find the Derivative of the Integral	g(x) = integral from 1 to x of t^3sin(t^4) with respect to t	$g (x) = \int_{1}^{x} t^{3} \sin (t^{4}) d t$
54588	Find the Derivative of the Integral	y=ccos(t)+t^2sin(t)	$y = c \cos (t) + t^{2} \sin (t)$
54589	Find the Derivative of the Integral	y = integral from 6 square root of x to x of sin(r^2) with respect to r	$y = \int_{6 \sqrt{x}}^{x} \sin (r^{2}) d r$
54590	Find the Derivative of the Integral	d/(dx) integral from 8 to x^3 of 1/(p^2) with respect to p	$\frac{d}{d x} \int_{8}^{x^{3}} \frac{1}{p^{2}} d p$
54591	Find the Derivative of the Integral	integral from 0 to x of square root of 5+4cos(t) with respect to t	$\int_{0}^{x} \sqrt{5 + 4 \cos (t)} d t$
54592	Identify the Sequence	0 , 1/4 , 2/5 , 1/2	$0$ , $\frac{1}{4}$ , $\frac{2}{5}$ , $\frac{1}{2}$
54593	Identify the Sequence	2 , 6 , 10 , 14 , 18	$2$ , $6$ , $10$ , $14$ , $18$
54594	Identify the Sequence	1/2 , 1/4 , 1/6 , 1/8	$\frac{1}{2}$ , $\frac{1}{4}$ , $\frac{1}{6}$ , $\frac{1}{8}$
54595	Identify the Sequence	4 , 24 , 144 , 864	$4$ , $24$ , $144$ , $864$
54596	Identify the Sequence	27/16 , -9/4 , 3	$\frac{27}{16}$ , $- \frac{9}{4}$ , $3$
54597	Write as a Single Logarithm	e^-4=0.0183	$e^{- 4} = 0.0183$
54598	Write as a Single Logarithm	3 log of x-1/2 log of z- log of y+1+ log of 12	$3 \log (x) - \frac{1}{2} \log (z) - \log (y + 1) + \log (12)$
54599	Write as a Single Logarithm	natural log of x^5-4 natural log of fourth root of x^3	$\ln (x^{5}) - 4 \ln (\sqrt[4]{x^{3}})$
54600	Write as a Single Logarithm	log base 4 of x^2-36-4 log base 4 of x+6	$\log_{4} (x^{2} - 36) - 4 \log_{4} (x + 6)$