Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
15901	Find the Derivative - d/dO	f(x)>0	$f (x) > 0$
15902	Find the Derivative - d/dp	-3/4* log base 3 of 16p^4-2/3* log base 3 of 8p^3	$- \frac{3}{4} \cdot \log_{3} (16 p^{4}) - \frac{2}{3} \cdot \log_{3} (8 p^{3})$
15903	Find the Derivative - d/dk	y=1/(z+ke^z)	$y = \frac{1}{z + k e^{z}}$
15904	Find the Derivative - d/dk	y=1-e^(-kx)	$y = 1 - e^{- k x}$
15905	Find the Derivative - d/dL	10^(0.1L)	$10^{0.1 L}$
15906	Find the Derivative - d/dk	(kn)/(1+n^2)	$\frac{k n}{1 + n^{2}}$
15907	Find the Derivative - d/dk	120k^(1/2)l^(1/3)	$120 k^{\frac{1}{2}} l^{\frac{1}{3}}$
15908	Find the Derivative - d/dk	k/(x^n)	$\frac{k}{x^{n}}$
15909	Find the Derivative - d/dk	k	$k$
15910	Find the Derivative - d/dk	k square root of x	$k \sqrt{x}$
15911	Find the Derivative - d/dk	natural log of kx	$\ln (k x)$
15912	Evaluate the Limit	limit as x approaches 0 of ( square root of 36+x-6)/x	$lim_{x \to 0} \frac{\sqrt{36 + x} - 6}{x}$
15913	Find the Derivative - d/dn	((n(n+1))/(2n^4))^2	${(\frac{n (n + 1)}{2 n^{4}})}^{2}$
15914	Find the Derivative - d/dm	e^(mx)	$e^{m x}$
15915	Find the Derivative - d/df	fg	$f g$
15916	Find the Derivative - d/dd	sin(2x)+cos(3x)dx	$\sin (2 x) + \cos (3 x) d x$
15917	Find the Derivative - d/df	f^(2/3)c^(1/3)	$f^{\frac{2}{3}} c^{\frac{1}{3}}$
15918	Find the Derivative - d/df	f	$f$
15919	Evaluate the Limit	limit as x approaches infinity of x^5e^(-x^4)	$lim_{x \to \infty} x^{5} e^{- x^{4}}$
15920	Find the Derivative - d/df	(f(x)*1)/(2x+1)	$\frac{f (x) \cdot 1}{2 x + 1}$
15921	Find the Derivative - d/dd	e^(x/2)dx	$e^{\frac{x}{2}} d x$
15922	Find the Derivative - d/df	(80p(ft^3))/min	$\frac{80 p ({ft}^{3})}{mi n}$
15923	Find the Derivative - d/dh	(8(4-4h+h^2)-32+5)/h	$\frac{8 (4 - 4 h + h^{2}) - 32 + 5}{h}$
15924	Find the Derivative - d/dh	(sin(h))/h	$\frac{\sin (h)}{h}$
15925	Find the Derivative - d/dh	( cube root of 8+h-2)/h	$\frac{\sqrt[3]{8 + h} - 2}{h}$
15926	Find the Derivative - d/dh	(f(3+h)-f*3)/h	$\frac{f (3 + h) - f \cdot 3}{h}$
15927	Find the Derivative - d/dG	G(x) fifth root of x^7+2x	$G (x) \sqrt[5]{x^{7} + 2 x}$
15928	Find the Derivative - d/dI	sin(8)	$\sin (8)$
15929	Find the Derivative - d/dk	(-3k)((-2k^-5)/(k^3))^-4	$(- 3 k) {(\frac{- 2 k^{- 5}}{k^{3}})}^{- 4}$
15930	Find the Derivative - d/d@VAR	s(t)=2t^2+5t-8	$s (t) = 2 t^{2} + 5 t - 8$
15931	Find the Derivative - d/d@VAR	z(t)=(t^2+5t+2)/(t+9)	$z (t) = \frac{t^{2} + 5 t + 2}{t + 9}$
15932	Find the Derivative - d/d@VAR	s(t)=0.81t^2	$s (t) = 0.81 t^{2}$
15933	Find the Derivative - d/d@VAR	s(t)=-16t^2	$s (t) = - 16 t^{2}$
15934	Find the Derivative - d/d@VAR	s(t)=4t^2+8t	$s (t) = 4 t^{2} + 8 t$
15935	Find the Derivative - d/d	f(x)=(sec(x))/(2+sec(x))	$f (x) = \frac{\sec (x)}{2 + \sec (x)}$
15936	Find the Derivative - d/d?	cot(2x)	$\cot (2 x)$
15937	Find the Derivative - d/d?	1-x^3sin(x)	$1 - x^{3} \sin (x)$
15938	Find the Derivative - d/d?	2cos(x)+cos(x)^2	$2 \cos (x) + \cos^{2} (x)$
15939	Find the Derivative - d/d?	cos(4x)	$\cos (4 x)$
15940	Find the Derivative - d/d?	y=x(sin( natural log of x+cos( natural log of x)))	$y = x (\sin (\ln (x) + \cos (\ln (x))))$
15941	Find the Local Maxima and Minima	x^2-x- natural log of x	$x^{2} - x - \ln (x)$
15942	Find the Derivative - d/d?	y=5-x^3sin(x)	$y = 5 - x^{3} \sin (x)$
15943	Find the Derivative - d/d?	5sec(x)	$5 \sec (x)$
15944	Find the Derivative - d/d?	2cos(2x)	$2 \cos (2 x)$
15945	Find the Derivative - d/d?	(sin(x))/(1-cos(x))	$\frac{\sin (x)}{1 - \cos (x)}$
15946	Simplify	((y^3)/2-1/(2y^3))^2	${(\frac{y^{3}}{2} - \frac{1}{2 y^{3}})}^{2}$
15947	Find the Derivative - d/d?	xsin(x)	$x \sin (x)$
15948	Find the Derivative - d/d@VAR	z(y)=x^2+y^2-L(2x+y+1)	$z (y) = x^{2} + y^{2} - L (2 x + y + 1)$
15949	Find the Derivative - d/da	4x^4+ax^3+bx^2+cx+d	$4 x^{4} + a x^{3} + b x^{2} + c x + d$
15950	Find the Derivative - d/da	R(a)=(3a+1)^2	$R (a) = {(3 a + 1)}^{2}$
15951	Find the Derivative - d/dA	sin(A)	$\sin (A)$
15952	Find the Derivative - d/da	sin(a)cos(x)	$\sin (a) \cos (x)$
15953	Find the Derivative - d/da	xe^(ax)	$x e^{a x}$
15954	Find the Derivative - d/da	a=12x+192/x+96	$a = 12 x + \frac{192}{x} + 96$
15955	Find the Derivative - d/da	y=( square root of a+x- square root of a-x)/( square root of a+x+ square root of a-x)	$y = \frac{\sqrt{a + x} - \sqrt{a - x}}{\sqrt{a + x} + \sqrt{a - x}}$
15956	Find the Derivative - d/da	y=ae^v+b/v+c/(v^2)	$y = a e^{v} + \frac{b}{v} + \frac{c}{v^{2}}$
15957	Find the Derivative - d/da	y=ax^2+2x	$y = a x^{2} + 2 x$
15958	Find the Derivative - d/da	y = square root of 1-2ax+x^2	$y = \sqrt{1 - 2 a x + x^{2}}$
15959	Find the Derivative - d/da	y=e^(ax^3)	$y = e^{a x^{3}}$
15960	Find the Derivative - d/da	y=e^(ax)sin(bx)	$y = e^{a x} \sin (b x)$
15961	Find the Derivative - d/da	y=ax square root of b	$y = a x \sqrt{b}$
15962	Find the Derivative - d/db	log base b of 18	$\log_{b} (18)$
15963	Find the Derivative - d/db	b^6	$b^{6}$
15964	Find the Derivative - d/dx	4x^3-4x	$4 x^{3} - 4 x$
15965	Find the Derivative - d/da	ax^3+6x^2+bx+4	$a x^{3} + 6 x^{2} + b x + 4$
15966	Find the Derivative - d/da	ax^4	$a x^{4}$
15967	Find the Derivative - d/da	cos(a)^2-sin(a)^2	$\cos^{2} (a) - \sin^{2} (a)$
15968	Find the Derivative - d/dA	-0.30A^3	$- 0.3 A^{3}$
15969	Find the Derivative - d/da	1/( square root of 2ax)	$\frac{1}{\sqrt{2 a x}}$
15970	Find the Derivative - d/dA	x[2/(x^2)- square root of x+5x^4.5,x]	$x [\frac{2}{x^{2}} - \sqrt{x} + 5 x^{4.5}, x]$
15971	Find the Derivative - d/dc	y=1/(c+ke^c)	$y = \frac{1}{c + k e^{c}}$
15972	Find the Derivative - d/dd	(d^90)/(dx^90)*(sin(x))	$\frac{d^{90}}{d x^{90}} \cdot (\sin (x))$
15973	Find the Derivative - d/dd	(d^91)/(dx^91)*(sin(x))	$\frac{d^{91}}{d x^{91}} \cdot (\sin (x))$
15974	Find the Derivative - d/dd	(dx^2)/(dx)	$\frac{d x^{2}}{d x}$
15975	Find the Derivative - d/dc	cy^-4	$c y^{- 4}$
15976	Find the Derivative - d/db	y=bx-c	$y = b x - c$
15977	Find the Derivative - d/dd	d/(dx)*((x^9)/18)	$\frac{d}{d x} \cdot (\frac{x^{9}}{18})$
15978	Find the Derivative - d/dd	d/(dx)(3^xx^8)	$\frac{d}{d x} \cdot (3^{x} \cdot x^{8})$
15979	Find the Derivative - d/dd	d/(dx)*(xe^(-10x))	$\frac{d}{d x} \cdot (x e^{- 10 x})$
15980	Find the Derivative - d/dc	(cr)/(k+r)	$\frac{c r}{k + r}$
15981	Find the Derivative - d/dd	(dx)/(dx)a/(2pi)(xcos(x))	$\frac{d x}{d x} \cdot \frac{a}{2 π} \cdot (x \cos (x))$
15982	Find the Derivative - d/dd	2dx	$2 d x$
15983	Find the Derivative - d/dd	3xdx	$3 x d x$
15984	Find the Derivative - d/dd	e^(2x)dx	$e^{2 x} d x$
15985	Find the Derivative - d/dd	(dx)/x	$\frac{d x}{x}$
15986	Find the Derivative - d/dd	d/(dx)*(xy)	$\frac{d}{d x} \cdot (x y)$
15987	Find the Derivative - d/dd	d/(dx)*(sin(2x))	$\frac{d}{d x} \cdot (\sin (2 x))$
15988	Find the Derivative - d/dd	d/(dx)*arcsin(x)	$\frac{d}{d x} \cdot \arcsin (x)$
15989	Find the Derivative - d/dd	d/(dx)*cos(hcos(x))	$\frac{d}{d x} \cdot \cos (h \cos (x))$
15990	Find the Derivative - d/dd	d/(dx)*cot(x)	$\frac{d}{d x} \cdot \cot (x)$
15991	Find the Derivative - d/dd	d/(dx)*(1/(2 cube root of y^2))	$\frac{d}{d x} \cdot (\frac{1}{2 \sqrt[3]{y^{2}}})$
15992	Find the Derivative - d/dd	d/(dx)*(uv)	$\frac{d}{d x} \cdot (u v)$
15993	Find the Derivative - d/dd	d/(dx)*(4x)	$\frac{d}{d x} \cdot (4 x)$
15994	Find the Derivative - d/d@VAR	f(x)=5e^3x	$f (x) = 5 e^{3} x$
15995	Find the Derivative - d/d@VAR	f(x) = natural log of 4+5x	$f (x) = \ln (4 + 5 x)$
15996	Find the Derivative - d/d@VAR	f(x) = natural log of sin(x)+cos(x)	$f (x) = \ln (\sin (x) + \cos (x))$
15997	Find the Derivative - d/d@VAR	f(x) = natural log of sin(h(x))	$f (x) = \ln (\sinh (x))$
15998	Find the Derivative - d/d@VAR	f(x) = natural log of natural log of 2x	$f (x) = \ln (\ln (2 x))$
15999	Find the Derivative - d/d@VAR	f(x) = natural log of x+2e^x-3x^2	$f (x) = \ln (x) + 2 e^{x} - 3 x^{2}$
16000	Find the Derivative - d/d@VAR	f(x) = natural log of 2-2^2	$f (x) = \ln (2) - 2^{2}$