Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
8401	Evaluate the Integral	integral of 2-tan(x/4) with respect to x	$\int 2 - \tan (\frac{x}{4}) d x$
8402	Evaluate the Integral	integral of 2x-x^2 with respect to x	$\int 2 x - x^{2} d x$
8403	Evaluate the Integral	integral of 3-2t-t^2 with respect to t	$\int 3 - 2 t - t^{2} d t$
8404	Evaluate the Integral	integral of 3-4x with respect to x	$\int 3 - 4 x d x$
8405	Evaluate the Integral	integral of 3x^2-4x+5 with respect to x	$\int 3 x^{2} - 4 x + 5 d x$
8406	Find the 2nd Derivative	f(x)=6/(x^2+3)	$f (x) = \frac{6}{x^{2} + 3}$
8407	Find the 2nd Derivative	f(x)=cos(x)^2	$f (x) = \cos^{2} (x)$
8408	Find the 2nd Derivative	f(x)=1/(x^2-9)	$f (x) = \frac{1}{x^{2} - 9}$
8409	Find the 2nd Derivative	f(x)=1/2x^4+2x^3	$f (x) = \frac{1}{2} x^{4} + 2 x^{3}$
8410	Find the 2nd Derivative	f(x)=(x^2+16)/(2x)	$f (x) = \frac{x^{2} + 16}{2 x}$
8411	Find the 2nd Derivative	f(x)=(8x+3)^4	$f (x) = {(8 x + 3)}^{4}$
8412	Find the 2nd Derivative	f(x)=(8x+9)^4	$f (x) = {(8 x + 9)}^{4}$
8413	Find the 2nd Derivative	f(x)=(2x+1)^4	$f (x) = {(2 x + 1)}^{4}$
8414	Find the 2nd Derivative	f(x)=(2x+7)^3	$f (x) = {(2 x + 7)}^{3}$
8415	Find the 2nd Derivative	f(x)=(x^2+7)^7	$f (x) = {(x^{2} + 7)}^{7}$
8416	Find dy/dx	y=( square root of x-5)/( square root of x+5)	$y = \frac{\sqrt{x} - 5}{\sqrt{x} + 5}$
8417	Find the 2nd Derivative	-4cos(x)	$- 4 \cos (x)$
8418	Find the 2nd Derivative	4csc(x)	$4 \csc (x)$
8419	Find the 2nd Derivative	4sec(x)csc(x)	$4 \sec (x) \csc (x)$
8420	Find the 2nd Derivative	6t^2+30t	$6 t^{2} + 30 t$
8421	Find the 2nd Derivative	2sin(x)	$2 \sin (x)$
8422	Find the 2nd Derivative	4e^(-x^2)	$4 e^{- x^{2}}$
8423	Find the 2nd Derivative	arctan(x)	$\arctan (x)$
8424	Find the 2nd Derivative	6sec(x)	$6 \sec (x)$
8425	Find the 2nd Derivative	f(x)=2x^2cos(6x)	$f (x) = 2 x^{2} \cos (6 x)$
8426	Find the Derivative - d/dx	9x	$9 x$
8427	Find the 2nd Derivative	f(x)=x^2 natural log of x	$f (x) = x^{2} \ln (x)$
8428	Find the 2nd Derivative	f(x)=x^2sin(x)	$f (x) = x^{2} \sin (x)$
8429	Find the 2nd Derivative	f(x)=x^3-3x^2+3	$f (x) = x^{3} - 3 x^{2} + 3$
8430	Find the 2nd Derivative	f(x)=e^x natural log of x	$f (x) = e^{x} \ln (x)$
8431	Find the 2nd Derivative	f(x)=( natural log of x)/(10x)	$f (x) = \frac{\ln (x)}{10 x}$
8432	Find the 2nd Derivative	f(x)=( natural log of x)/(11x)	$f (x) = \frac{\ln (x)}{11 x}$
8433	Find the 2nd Derivative	f(x)=e^(-7x^2)	$f (x) = e^{- 7 x^{2}}$
8434	Find the 2nd Derivative	y=(5x^2-1)(3x^3+x)	$y = (5 x^{2} - 1) (3 x^{3} + x)$
8435	Find the 2nd Derivative	f(x)=15 root of 7x+5	$f (x) = \sqrt[15]{7 x + 5}$
8436	Find the 2nd Derivative	f(x)=x^(9/2)e^x	$f (x) = x^{\frac{9}{2}} e^{x}$
8437	Find the 2nd Derivative	f(x)=x/(2-11x)	$f (x) = \frac{x}{2 - 11 x}$
8438	Find the 2nd Derivative	f(x)=x/(4-7x)	$f (x) = \frac{x}{4 - 7 x}$
8439	Find the 2nd Derivative	f(x)=3x^4	$f (x) = 3 x^{4}$
8440	Find the Derivative - d/d@VAR	f(x)=((2x-5)^7)/(2x)	$f (x) = \frac{{(2 x - 5)}^{7}}{2 x}$
8441	Find the 2nd Derivative	f(x)=sin(x^2)	$f (x) = \sin (x^{2})$
8442	Find the 2nd Derivative	f(x)=sin(2x)	$f (x) = \sin (2 x)$
8443	Find the 2nd Derivative	f(x)=x-2sin(x)	$f (x) = x - 2 \sin (x)$
8444	Find the 2nd Derivative	f(x)=cos(2x)	$f (x) = \cos (2 x)$
8445	Find the 2nd Derivative	f(x) = natural log of 3x-1	$f (x) = \ln (3 x - 1)$
8446	Find the Derivative - d/dt	t- cube root of t	$t - \sqrt[3]{t}$
8447	Find the 2nd Derivative	G(r) = square root of r+ ninth root of r	$G (r) = \sqrt{r} + \sqrt[9]{r}$
8448	Find the 2nd Derivative	y=x/(x^2+1)	$y = \frac{x}{x^{2} + 1}$
8449	Find the 2nd Derivative	y = square root of x^2+9	$y = \sqrt{x^{2} + 9}$
8450	Find the 2nd Derivative	y=x^2 natural log of 8x	$y = x^{2} \ln (8 x)$
8451	Find the 2nd Derivative	y=x^2	$y = x^{2}$
8452	Find the 2nd Derivative	y=(x+2)/(x-3)	$y = \frac{x + 2}{x - 3}$
8453	Find the 2nd Derivative	y=2x-3x^(2/3)	$y = 2 x - 3 x^{\frac{2}{3}}$
8454	Find the 2nd Derivative	y=2x^3-24x-5	$y = 2 x^{3} - 24 x - 5$
8455	Find the 2nd Derivative	y=2e^(-x^2)	$y = 2 e^{- x^{2}}$
8456	Find the 2nd Derivative	y=2x^(3/2)-6x^(1/2)	$y = 2 x^{\frac{3}{2}} - 6 x^{\frac{1}{2}}$
8457	Find the 2nd Derivative	y=cos(2x)	$y = \cos (2 x)$
8458	Find the 2nd Derivative	y=9sec(x)	$y = 9 \sec (x)$
8459	Find the 2nd Derivative	y=7cot(x)	$y = 7 \cot (x)$
8460	Find the 2nd Derivative	y=3x^(2/3)-2/x	$y = 3 x^{\frac{2}{3}} - \frac{2}{x}$
8461	Find the 2nd Derivative	y=4sin(x)	$y = 4 \sin (x)$
8462	Find the 2nd Derivative	y=5x^2+5x-2	$y = 5 x^{2} + 5 x - 2$
8463	Find the 2nd Derivative	y=4x- natural log of x	$y = 4 x - \ln (x)$
8464	Find the 2nd Derivative	y=5x^3-3x^5	$y = 5 x^{3} - 3 x^{5}$
8465	Find the 2nd Derivative	y=(2x-1)/(3x+4)	$y = \frac{2 x - 1}{3 x + 4}$
8466	Find the 2nd Derivative	y=(4x^5)/5-7x	$y = \frac{4 x^{5}}{5} - 7 x$
8467	Find the 2nd Derivative	y=e^(x^2)+11x	$y = e^{x^{2}} + 11 x$
8468	Find the 2nd Derivative	sin(x/2)	$\sin (\frac{x}{2})$
8469	Find the 2nd Derivative	s(t)=t^2+2t	$s (t) = t^{2} + 2 t$
8470	Find the Derivative - d/dt	6 square root of t	$6 \sqrt{t}$
8471	Find the 4th Derivative	x^4y^7+4x^8y^6	$x^{4} y^{7} + 4 x^{8} y^{6}$
8472	Find the Derivative - d/d?	tan(theta)	$\tan (θ)$
8473	Find the 4th Derivative	4t^2+6t+1	$4 t^{2} + 6 t + 1$
8474	Find the 3rd Derivative	y=x/(x+1)	$y = \frac{x}{x + 1}$
8475	Find the 3rd Derivative	y=5x^3+3x^2	$y = 5 x^{3} + 3 x^{2}$
8476	Find the 3rd Derivative	y=5x^3+6x^2	$y = 5 x^{3} + 6 x^{2}$
8477	Find the Derivative - d/dt	16t^2	$16 t^{2}$
8478	Find the 4th Derivative	f(x)=5 square root of x^5	$f (x) = 5 \sqrt{x^{5}}$
8479	Solve for x	log base 4 of 0.25=x	$\log_{4} (0.25) = x$
8480	Find the 4th Derivative	f(x)=x/(x+1)	$f (x) = \frac{x}{x + 1}$
8481	Find the 4th Derivative	f(x)=x^5-5x^3+x+12	$f (x) = x^{5} - 5 x^{3} + x + 12$
8482	Evaluate the Limit	limit as x approaches infinity of (3x-1)/(2-x)	$lim_{x \to \infty} \frac{3 x - 1}{2 - x}$
8483	Find the 3rd Derivative	f(x)=3x^3-5x^4	$f (x) = 3 x^{3} - 5 x^{4}$
8484	Find the 3rd Derivative	f(x)=sin(2x)	$f (x) = \sin (2 x)$
8485	Find the Inflection Points	f(x)=3x^4+16x^3	$f (x) = 3 x^{4} + 16 x^{3}$
8486	Find the 3rd Derivative	cos(3x)	$\cos (3 x)$
8487	Evaluate the Integral	integral of 1/2*sin(2x) with respect to x	$\int \frac{1}{2} \cdot \sin (2 x) d x$
8488	Evaluate the Integral	integral of 1/(2+sin(x)) with respect to x	$\int \frac{1}{2 + \sin (x)} d x$
8489	Evaluate the Integral	integral of 1/(2-3x) with respect to x	$\int \frac{1}{2 - 3 x} d x$
8490	Evaluate the Integral	integral of 1/(3+25x^2) with respect to x	$\int \frac{1}{3 + 25 x^{2}} d x$
8491	Evaluate the Integral	integral of -1/4*sin(2x) with respect to x	$\int - \frac{1}{4} \cdot \sin (2 x) d x$
8492	Evaluate the Integral	integral of 1/4 with respect to x	$\int \frac{1}{4} d x$
8493	Evaluate the Integral	integral of 1/(3x+2) with respect to x	$\int \frac{1}{3 x + 2} d x$
8494	Evaluate the Integral	integral of 1/(4x+7) with respect to x	$\int \frac{1}{4 x + 7} d x$
8495	Evaluate the Integral	integral of 1/(5-x^2) with respect to x	$\int \frac{1}{5 - x^{2}} d x$
8496	Evaluate the Integral	integral of 1/(4+9x^2) with respect to x	$\int \frac{1}{4 + 9 x^{2}} d x$
8497	Evaluate the Integral	integral of 1/(4-3x) with respect to x	$\int \frac{1}{4 - 3 x} d x$
8498	Evaluate the Integral	integral of 1/(5-8x) with respect to x	$\int \frac{1}{5 - 8 x} d x$
8499	Evaluate the Integral	integral of 1/(5-x) with respect to x	$\int \frac{1}{5 - x} d x$
8500	Evaluate the Integral	integral of 1/(5x^5) with respect to x	$\int \frac{1}{5 x^{5}} d x$