Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
5701	Find the Local Maxima and Minima	f(x)=7x-2x natural log of x	$f (x) = 7 x - 2 x \ln (x)$
5702	Find the Derivative - d/d@VAR	f(x)=x square root of 9-x^2	$f (x) = x \sqrt{9 - x^{2}}$
5703	Find the Derivative - d/d@VAR	f(x)=x+25/x	$f (x) = x + \frac{25}{x}$
5704	Find the Derivative - d/d@VAR	f(x)=x^2-7	$f (x) = x^{2} - 7$
5705	Find the Derivative - d/d@VAR	f(x)=x(x-4)^3	$f (x) = x {(x - 4)}^{3}$
5706	Find the Derivative - d/d@VAR	f(x)=x-cos(x)	$f (x) = x - \cos (x)$
5707	Find the Derivative - d/d@VAR	f(x)=-7x^3+4x^2+1	$f (x) = - 7 x^{3} + 4 x^{2} + 1$
5708	Find the Derivative - d/d@VAR	f(x) = log of x	$f (x) = \log (x)$
5709	Find the Derivative - d/d@VAR	f(x)=sec(x)csc(x)	$f (x) = \sec (x) \csc (x)$
5710	Find the Derivative - d/d@VAR	f(x)=e^2	$f (x) = e^{2}$
5711	Find the Derivative - d/d@VAR	f(x)=sin(2x)cos(2x)	$f (x) = \sin (2 x) \cos (2 x)$
5712	Find the Derivative - d/d@VAR	f(x)=sin( square root of e^x+1)	$f (x) = \sin (\sqrt{e^{x} + 1})$
5713	Find the Derivative - d/d@VAR	f(x)=sin(7 natural log of x)	$f (x) = \sin (7 \ln (x))$
5714	Find the Derivative - d/d@VAR	f(x)=sin(x)tan(x)	$f (x) = \sin (x) \tan (x)$
5715	Find the Derivative - d/d@VAR	f(x)=tan(x)sec(x)	$f (x) = \tan (x) \sec (x)$
5716	Find the Derivative - d/d@VAR	f(x)=tan(x)-x	$f (x) = \tan (x) - x$
5717	Find the Derivative - d/d@VAR	f(x)=4x^2+5x	$f (x) = 4 x^{2} + 5 x$
5718	Find the Derivative - d/d@VAR	f(x)=arctan(e^x)	$f (x) = \arctan (e^{x})$
5719	Find the Derivative - d/d@VAR	f(x)=arctan(x^2)	$f (x) = \arctan (x^{2})$
5720	Find the Derivative - d/d@VAR	f(x) = natural log of e^x+1	$f (x) = \ln (e^{x} + 1)$
5721	Find the Derivative - d/d@VAR	f(x) = natural log of x^3-x^2	$f (x) = \ln (x^{3} - x^{2})$
5722	Find the Derivative - d/d@VAR	f(x) = natural log of (x+1)/(x-1)	$f (x) = \ln (\frac{x + 1}{x - 1})$
5723	Find the Derivative - d/d@VAR	f(x) = natural log of 3x	$f (x) = \ln (3 x)$
5724	Find the Derivative - d/d@VAR	f(x)=x- natural log of x	$f (x) = x - \ln (x)$
5725	Find the Derivative - d/d@VAR	f(x)=xsin(x)+cos(x)	$f (x) = x \sin (x) + \cos (x)$
5726	Find the Derivative - d/d@VAR	g(t)=1/( square root of t)	$g (t) = \frac{1}{\sqrt{t}}$
5727	Find the Derivative - d/d@VAR	g(t)=9/( square root of t)	$g (t) = \frac{9}{\sqrt{t}}$
5728	Find the Derivative - d/d@VAR	g(x) = cube root of 2t	$g (x) = \sqrt[3]{2 t}$
5729	Find the Derivative - d/d@VAR	g(x)=sec(x^4)+csc(x^4)	$g (x) = \sec (x^{4}) + \csc (x^{4})$
5730	Find the Derivative - d/d@VAR	g(y)=(y-1)/(y^2-y+1)	$g (y) = \frac{y - 1}{y^{2} - y + 1}$
5731	Find the Derivative - d/d@VAR	h(t) = square root of t(1-t^2)	$h (t) = \sqrt{t} (1 - t^{2})$
5732	Find the Derivative - d/d@VAR	h(x)=(x^2-1)^2	$h (x) = {(x^{2} - 1)}^{2}$
5733	Find the Derivative - d/d@VAR	f(x)=3x+1	$f (x) = 3 x + 1$
5734	Find the Derivative - d/d@VAR	f(x)=4ex^2	$f (x) = 4 e x^{2}$
5735	Find the Derivative - d/d@VAR	f(x)=2^8*0	$f (x) = 2^{80}$
5736	Find the Derivative - d/d@VAR	f(x)=3x-5	$f (x) = 3 x - 5$
5737	Find the Derivative - d/d@VAR	f(x)=-4x(x+2)^3	$f (x) = - 4 x {(x + 2)}^{3}$
5738	Find the Derivative - d/d@VAR	f(x)=4csc(2x^3-1)	$f (x) = 4 \csc (2 x^{3} - 1)$
5739	Find the Derivative - d/d@VAR	f(x)=1/( square root of x^13)	$f (x) = \frac{1}{\sqrt{x^{13}}}$
5740	Find the Derivative - d/d@VAR	f(x)=6 square root of x+5cos(x)	$f (x) = 6 \sqrt{x} + 5 \cos (x)$
5741	Find the Derivative - d/d@VAR	f(x)=6cot(x^3-2x^2)	$f (x) = 6 \cot (x^{3} - 2 x^{2})$
5742	Find the Derivative - d/d@VAR	f(x)=5x^(4/3)-2/3x^(3/2)+x^2-3x+1	$f (x) = 5 x^{\frac{4}{3}} - \frac{2}{3} x^{\frac{3}{2}} + x^{2} - 3 x + 1$
5743	Find the Derivative - d/d@VAR	f(x)=9x^4	$f (x) = 9 x^{4}$
5744	Find the Derivative - d/d@VAR	f(x)=5x^2+4x	$f (x) = 5 x^{2} + 4 x$
5745	Find the Derivative - d/d@VAR	f(x)=5x^4-6x^2+7	$f (x) = 5 x^{4} - 6 x^{2} + 7$
5746	Find the Derivative - d/d@VAR	f(x)=5x+8	$f (x) = 5 x + 8$
5747	Find the Derivative - d/d@VAR	f(x)=6x^2-5x-1	$f (x) = 6 x^{2} - 5 x - 1$
5748	Find the Derivative - d/d@VAR	f(x)=5/(3x)	$f (x) = \frac{5}{3 x}$
5749	Find the Derivative - d/d@VAR	f(x)=2x+5	$f (x) = 2 x + 5$
5750	Find the Derivative - d/d@VAR	f(x)=2x-3	$f (x) = 2 x - 3$
5751	Find the Derivative - d/d@VAR	f(x)=2sin(x)cos(x)	$f (x) = 2 \sin (x) \cos (x)$
5752	Find the Derivative - d/d@VAR	f(x)=2 natural log of x	$f (x) = 2 \ln (x)$
5753	Find the Derivative - d/d@VAR	f(x)=2x^3-3x^4	$f (x) = 2 x^{3} - 3 x^{4}$
5754	Find the Derivative - d/d@VAR	f(x)=(c^8-x^8)/(c^8+x^8)	$f (x) = \frac{c^{8} - x^{8}}{c^{8} + x^{8}}$
5755	Find the Derivative - d/d@VAR	f(x)=2e^(-x^4)	$f (x) = 2 e^{- x^{4}}$
5756	Find the Derivative - d/d@VAR	f(x)=19xe^x	$f (x) = 19 x e^{x}$
5757	Find the Derivative - d/d@VAR	f(x)=12	$f (x) = 12$
5758	Find the Derivative - d/d@VAR	f(x)=14	$f (x) = 14$
5759	Find the Derivative - d/d@VAR	f(x)=xe^(-2x)	$f (x) = x e^{- 2 x}$
5760	Find the Derivative - d/d@VAR	f(x)=ye^(-((16x^2+9y^2)/288))+xy(-x/9)e^(-((16x^2+y^2)/288))	$f (x) = y e^{- (\frac{16 x^{2} + 9 y^{2}}{288})} + x y (- \frac{x}{9}) e^{- (\frac{16 x^{2} + y^{2}}{288})}$
5761	Find the Local Maxima and Minima	f(x)=ax^2+bx+c	$f (x) = a x^{2} + b x + c$
5762	Find the Local Maxima and Minima	f(x)=(4x)/(x^2+4)	$f (x) = \frac{4 x}{x^{2} + 4}$
5763	Find the Local Maxima and Minima	f(x)=e^xcos(x)	$f (x) = e^{x} \cos (x)$
5764	Find the Local Maxima and Minima	f(x)=x/(1+x^4)	$f (x) = \frac{x}{1 + x^{4}}$
5765	Find the Local Maxima and Minima	f(x)=1/x+ natural log of x	$f (x) = \frac{1}{x} + \ln (x)$
5766	Find the Local Maxima and Minima	f(x)=1/3x^3-2x^2+3x-4	$f (x) = \frac{1}{3} x^{3} - 2 x^{2} + 3 x - 4$
5767	Find the Local Maxima and Minima	f(x)=(x^2)/(x^2-16)	$f (x) = \frac{x^{2}}{x^{2} - 16}$
5768	Find the Local Maxima and Minima	f(x)=(x-6)(x^2-12x-72)	$f (x) = (x - 6) (x^{2} - 12 x - 72)$
5769	Find the Local Maxima and Minima	f(x)=(x-2)(x-3)^2	$f (x) = (x - 2) {(x - 3)}^{2}$
5770	Find the Local Maxima and Minima	f(x)=(x^2-1)^4	$f (x) = {(x^{2} - 1)}^{4}$
5771	Find the Local Maxima and Minima	3x^3-36x	$3 x^{3} - 36 x$
5772	Find the Local Maxima and Minima	2x^3+3x^2-72x	$2 x^{3} + 3 x^{2} - 72 x$
5773	Find the Local Maxima and Minima	x^4-288x^2+20736	$x^{4} - 288 x^{2} + 20736$
5774	Find the Local Maxima and Minima	x^4-8x^2	$x^{4} - 8 x^{2}$
5775	Find the Local Maxima and Minima	cos(2x)	$\cos (2 x)$
5776	Find dy/dx	x^2-6xy+y^2=6	$x^{2} - 6 x y + y^{2} = 6$
5777	Find the Local Maxima and Minima	x^3-6x^2+9x+1	$x^{3} - 6 x^{2} + 9 x + 1$
5778	Find the Local Maxima and Minima	x^3-3x^2+1	$x^{3} - 3 x^{2} + 1$
5779	Find the Derivative - d/d@VAR	f(x)=x^2-8	$f (x) = x^{2} - 8$
5780	Find the Derivative - d/d@VAR	v(x)=( square root of x+1/( cube root of x))^2	$v (x) = {(\sqrt{x} + \frac{1}{\sqrt[3]{x}})}^{2}$
5781	Eliminate the Parameter	x(t)=5cos(t) , y(t)=5sin(t)	$x (t) = 5 \cos (t)$ , $y (t) = 5 \sin (t)$
5782	Eliminate the Parameter	x(t)=t-1/2 , y(t)=t+6	$x (t) = t - \frac{1}{2}$ , $y (t) = t + 6$
5783	Evaluate the Integral	integral of 7x with respect to x	$\int 7 x d x$
5784	Evaluate the Integral	integral from 0 to 1 of natural log of x with respect to x	$\int_{0}^{1} \ln (x) d x$
5785	Write in Exponential Form	natural log of 5-2x=-3	$\ln (5 - 2 x) = - 3$
5786	Expand the Logarithmic Expression	natural log of x^(1/2)	$\ln (x^{\frac{1}{2}})$
5787	Expand the Logarithmic Expression	natural log of xyz	$\ln (x y z)$
5788	Simplify/Condense	-p natural log of p-(1-p) natural log of 1-p	$- p \ln (p) - (1 - p) \ln (1 - p)$
5789	Expand the Logarithmic Expression	( natural log of 2)/9	$\frac{\ln (2)}{9}$
5790	Simplify/Condense	( natural log of x)/x	$\frac{\ln (x)}{x}$
5791	Find the Function	f'(x)=2x	$f' (x) = 2 x$
5792	Find the Domain and Range	f(x)=5x^3-125x	$f (x) = 5 x^{3} - 125 x$
5793	Find the Function	f'(x)=9x^2-8x	$f' (x) = 9 x^{2} - 8 x$
5794	Find the Antiderivative	1/2x^2-2x+3	$\frac{1}{2} x^{2} - 2 x + 3$
5795	Find the Function	f'''(x)=cos(x)	$f''' (x) = \cos (x)$
5796	Find the Function	f''(x)=sin(x)	$f'' (x) = \sin (x)$
5797	Find the Antiderivative	x^14	$x^{14}$
5798	Find the Antiderivative	144-x^2	$144 - x^{2}$
5799	Find the Antiderivative	4/x	$\frac{4}{x}$
5800	Find the Antiderivative	(5-4x^3+2x^6)/(x^6)	$\frac{5 - 4 x^{3} + 2 x^{6}}{x^{6}}$