Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
16501	Find the Derivative - d/d@VAR	f(t)=e^(2t) natural log of t+1	$f (t) = e^{2 t} \ln (t + 1)$
16502	Find the Derivative - d/d@VAR	f(t)=e^(8tsin(2t))	$f (t) = e^{8 t \sin (2 t)}$
16503	Find the Derivative - d/d@VAR	f(x)=2cos(x)+sin(x)^2	$f (x) = 2 \cos (x) + \sin^{2} (x)$
16504	Find the Derivative - d/d@VAR	f(x) = natural log of cos(x)	$f (x) = \ln (\cos (x))$
16505	Find the Derivative - d/d@VAR	f(s)=(s^6+1)e^(-s^6)	$f (s) = (s^{6} + 1) e^{- s^{6}}$
16506	Find the Derivative - d/d@VAR	f(t)=(4t^2-2t+5)^(3/2)	$f (t) = {(4 t^{2} - 2 t + 5)}^{\frac{3}{2}}$
16507	Find the Derivative - d/d@VAR	f(s)=( square root of s-1)/( square root of s+1)	$f (s) = \frac{\sqrt{s} - 1}{\sqrt{s} + 1}$
16508	Find the Derivative - d/d@VAR	f(t)=(e^(-t))/(1+t^2)	$f (t) = \frac{e^{- t}}{1 + t^{2}}$
16509	Find the Derivative - d/d@VAR	f(t)=(t^2+2)/(2t-7)	$f (t) = \frac{t^{2} + 2}{2 t - 7}$
16510	Find the Derivative - d/d@VAR	f(t)=1/(arctan(3t))	$f (t) = \frac{1}{\arctan (3 t)}$
16511	Find the Derivative - d/dx	y = square root of x+ fourth root of x	$y = \sqrt{x} + \sqrt[4]{x}$
16512	Find the Derivative - d/d@VAR	c(y)=240000+6000x+4000y	$c (y) = 240000 + 6000 x + 4000 y$
16513	Find the Derivative - d/d@VAR	d(p)=3000e^(-0.04p)	$d (p) = 3000 e^{- 0.04 p}$
16514	Find the Derivative - d/d@VAR	D(x)=4.89+0.876x-0.1784x^2+0.0634x^3-0.00039x^4	$D (x) = 4.89 + 0.876 x - 0.1784 x^{2} + 0.0634 x^{3} - 0.00039 x^{4}$
16515	Find the Derivative - d/d@VAR	D(x)=200/x	$D (x) = \frac{200}{x}$
16516	Find the Derivative - d/dx	4x^3-2x^2+8x-3	$4 x^{3} - 2 x^{2} + 8 x - 3$
16517	Find the Derivative - d/d@VAR	c(t)=14.5e^(-1.2t)+0.14t^2	$c (t) = 14.5 e^{- 1.2 t} + 0.14 t^{2}$
16518	Find the Derivative - d/d@VAR	f(x)=5sin(x)+5 square root of 3cos(x)	$f (x) = 5 \sin (x) + 5 \sqrt{3} \cos (x)$
16519	Find the Derivative - d/d@VAR	f(u)=10/( square root of u)	$f (u) = \frac{10}{\sqrt{u}}$
16520	Find the Derivative - d/d@VAR	f(u)=6/( square root of u)	$f (u) = \frac{6}{\sqrt{u}}$
16521	Find the Derivative - d/d@VAR	f(u)=u^2e^(-u)	$f (u) = u^{2} e^{- u}$
16522	Find the Derivative - d/d@VAR	f(x)=cos(x)-6tan(x)	$f (x) = \cos (x) - 6 \tan (x)$
16523	Find the Derivative - d/d@VAR	f(u) = square root of u(5-u^6)	$f (u) = \sqrt{u} (5 - u^{6})$
16524	Find the Derivative - d/d@VAR	f(x)=(x^2+3)^6	$f (x) = {(x^{2} + 3)}^{6}$
16525	Find the Derivative - d/d@VAR	f(x)=(x^3) fifth root of 2-x	$f (x) = (x^{3}) \sqrt[5]{2 - x}$
16526	Find the Derivative - d/d@VAR	f(x)=( square root of x+2x)(x^(3/2)-x)	$f (x) = (\sqrt{x} + 2 x) (x^{\frac{3}{2}} - x)$
16527	Find the Derivative - d/d@VAR	f(x)=((e^(2x))/(x^6))	$f (x) = (\frac{e^{2 x}}{x^{6}})$
16528	Find the Derivative - d/d@VAR	f(x)=(e^2.5+1/(e^(-x)))	$f (x) = (e^{2.5} + \frac{1}{e^{- x}})$
16529	Find the Derivative - d/d@VAR	f(x)=( natural log of (x)^5)	$f (x) = (\ln ({(x)}^{5}))$
16530	Find the Derivative - d/d@VAR	f(x)=(2x+1)cos(x)	$f (x) = (2 x + 1) \cos (x)$
16531	Evaluate the Integral	integral from 0 to 7 of square root of 7x with respect to x	$\int_{0}^{7} \sqrt{7 x} d x$
16532	Find the Derivative - d/d@VAR	f(x)=(2x-1)( natural log of 5x+1+x^2)	$f (x) = (2 x - 1) (\ln (5 x + 1) + x^{2})$
16533	Find the Derivative - d/d@VAR	f(x)=(2x^3+5)(4x^7-7)	$f (x) = (2 x^{3} + 5) (4 x^{7} - 7)$
16534	Find the Derivative - d/d@VAR	f(x)=(x^5-3x)(1/(x^2))	$f (x) = (x^{5} - 3 x) (\frac{1}{x^{2}})$
16535	Find the Derivative - d/dx	x^2(2x-1)	$x^{2} (2 x - 1)$
16536	Find the Derivative - d/dx	x^2(2x^2-3x)	$x^{2} (2 x^{2} - 3 x)$
16537	Find the Derivative - d/dx	x^2(96-x)	$x^{2} (96 - x)$
16538	Find the Derivative - d/dx	x^2*e^(3x)	$x^{2} \cdot e^{3 x}$
16539	Find the Derivative - d/dx	x^2*e^x	$x^{2} \cdot e^{x}$
16540	Find the Derivative - d/dx	x^0.5	$x^{0.5}$
16541	Find the Derivative - d/dx	x^(7/8)	$x^{\frac{7}{8}}$
16542	Find the Derivative - d/dx	-x^(8/9)	$- x^{\frac{8}{9}}$
16543	Evaluate the Integral	integral of sec(x)^2tan(x)^2 with respect to x	$\int \sec^{2} (x) \tan^{2} (x) d x$
16544	Find the Derivative - d/dx	x^(9/4)	$x^{\frac{9}{4}}$
16545	Find the Derivative - d/dx	x^(5/4)	$x^{\frac{5}{4}}$
16546	Find the Derivative - d/dx	x^(5/3)-x^(2/3)	$x^{\frac{5}{3}} - x^{\frac{2}{3}}$
16547	Find the Derivative - d/dx	x^(4/7)	$x^{\frac{4}{7}}$
16548	Find the Derivative - d/dx	x^2e^(4x)	$x^{2} e^{4 x}$
16549	Find the Derivative - d/dx	x^2e^(1x)	$x^{2} e^{1 x}$
16550	Find the Derivative - d/dx	x^2e^(9x)	$x^{2} e^{9 x}$
16551	Find the Derivative - d/dx	x^2e^(3xy)	$x^{2} e^{3 x y}$
16552	Find the Derivative - d/dx	x^2e^(7xy)	$x^{2} e^{7 x y}$
16553	Find the Derivative - d/dx	x^2*cos(2x)	$x^{2} \cdot \cos (2 x)$
16554	Find the Derivative - d/dx	x^2*cos(x)	$x^{2} \cdot \cos (x)$
16555	Find the Derivative - d/dx	x^2(6-x)^3	$x^{2} {(6 - x)}^{3}$
16556	Find the Derivative - d/dx	x^2 square root of 6x-9	$x^{2} \sqrt{6 x - 9}$
16557	Find the Derivative - d/dx	x^2y^(3-x^3+y+2)	$x^{2} y^{3 - x^{3} + y + 2}$
16558	Find the Derivative - d/dx	x^2+y^2+z^2	$x^{2} + y^{2} + z^{2}$
16559	Find the Derivative - d/dx	x^2-10x	$x^{2} - 10 x$
16560	Find the Derivative - d/dx	x^2+xy+y^2-13y+56	$x^{2} + x y + y^{2} - 13 y + 56$
16561	Find the Derivative - d/dx	x^2+xy+y^2-37y+456	$x^{2} + x y + y^{2} - 37 y + 456$
16562	Find the Derivative - d/dx	x^2-3x+4	$x^{2} - 3 x + 4$
16563	Find the Derivative - d/dx	x^2-2x+8	$x^{2} - 2 x + 8$
16564	Find the Derivative - d/dx	x^2-4x+5	$x^{2} - 4 x + 5$
16565	Find the Derivative - d/dx	x^2-4y^2	$x^{2} - 4 y^{2}$
16566	Find the Derivative - d/dx	x^2-500 square root of x	$x^{2} - 500 \sqrt{x}$
16567	Find the Derivative - d/dx	x^2-5x+2	$x^{2} - 5 x + 2$
16568	Find the Derivative - d/dx	x^2-6x+8	$x^{2} - 6 x + 8$
16569	Find the Derivative - d/dx	x^2-6x+9	$x^{2} - 6 x + 9$
16570	Find the Derivative - d/dx	x^2-8x+15	$x^{2} - 8 x + 15$
16571	Find the Derivative - d/dx	x^2-7	$x^{2} - 7$
16572	Find the Derivative - d/dx	x^2+y^2-4x+6y-1	$x^{2} + y^{2} - 4 x + 6 y - 1$
16573	Find the Derivative - d/dx	x^2+2x+4	$x^{2} + 2 x + 4$
16574	Find the Derivative - d/dx	-x^2+6x+5	$- x^{2} + 6 x + 5$
16575	Find the Derivative - d/dx	x^2+6x+6	$x^{2} + 6 x + 6$
16576	Find the Derivative - d/dx	x^2+3xy-y^2	$x^{2} + 3 x y - y^{2}$
16577	Find the Derivative - d/dx	-x^2+4xy-5y^2-6x+22y+9	$- x^{2} + 4 x y - 5 y^{2} - 6 x + 22 y + 9$
16578	Find the Derivative - d/dx	x^2cos(3x)	$x^{2} \cos (3 x)$
16579	Find the Derivative - d/dx	x^2f(x)	$x^{2} f (x)$
16580	Find the Derivative - d/dx	x^2arctan(e^x)	$x^{2} \arctan (e^{x})$
16581	Find the Derivative - d/dx	x^2 natural log of x-3xe^x	$x^{2} \ln (x) - 3 x e^{x}$
16582	Find the Derivative - d/dx	x^2 log of x	$x^{2} \log (x)$
16583	Find the Derivative - d/dx	x^2sin(y)	$x^{2} \sin (y)$
16584	Find the Derivative - d/dx	x^2sin(x)+2xcos(x)	$x^{2} \sin (x) + 2 x \cos (x)$
16585	Find the Derivative - d/dx	x^2sin(4x)	$x^{2} \sin (4 x)$
16586	Find the Derivative - d/dx	x^2sin(3x)	$x^{2} \sin (3 x)$
16587	Find the Derivative - d/dx	x^2-xy+y^2	$x^{2} - x y + y^{2}$
16588	Find the Derivative - d/dx	x^2sin(pix)	$x^{2} \sin (π x)$
16589	Find the Derivative - d/dx	x^3(2x-5)^4	$x^{3} {(2 x - 5)}^{4}$
16590	Find the Derivative - d/dx	x^3(x^2+3)^(1/3)	$x^{3} {(x^{2} + 3)}^{\frac{1}{3}}$
16591	Find the Derivative - d/dx	x^(2k)-2	$x^{2 k} - 2$
16592	Find the Derivative - d/dx	x^(2sec(x))	$x^{2 \sec (x)}$
16593	Find the Derivative - d/dx	x^3(7-x^2)	$x^{3} (7 - x^{2})$
16594	Find the Derivative - d/dx	x^(ex)	$x^{e x}$
16595	Find the Derivative - d/dx	x^(sec(x))	$x^{\sec (x)}$
16596	Find the Derivative - d/dx	x^9 square root of x	$x^{9} \sqrt{x}$
16597	Find the Derivative - d/dx	x^9 natural log of x	$x^{9} \ln (x)$
16598	Find the Derivative - d/dx	x^ee^x	$x^{e} e^{x}$
16599	Find the Derivative - d/dx	x^8cos(3x)	$x^{8} \cos (3 x)$
16600	Find the Derivative - d/dx	x^6 natural log of x	$x^{6} \ln (x)$