Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
12701	Find the Derivative - d/dx	f(x)=x^5(x-12)^7	$f (x) = x^{5} {(x - 12)}^{7}$
12702	Find the Derivative - d/dx	f(x)=x^5e^(10x)	$f (x) = x^{5} e^{10 x}$
12703	Find the Derivative - d/dx	f(x)=x^4-2x^2	$f (x) = x^{4} - 2 x^{2}$
12704	Find the Derivative - d/dx	f(x)=x^4-4x^3	$f (x) = x^{4} - 4 x^{3}$
12705	Find the Derivative - d/dx	f(x)=x^4 natural log of 5x	$f (x) = x^{4} \ln (5 x)$
12706	Find the Derivative - d/dx	f(x)=x^7e^(8x)	$f (x) = x^{7} e^{8 x}$
12707	Solve for x	1-3e^(-3x)=0	$1 - 3 e^{- 3 x} = 0$
12708	Find the Derivative - d/dx	f(x)=x^9(x^7-4)	$f (x) = x^{9} (x^{7} - 4)$
12709	Find the Derivative - d/dx	f(x)=x^9e^(10x)	$f (x) = x^{9} e^{10 x}$
12710	Solve for x	-3x^2+24x+144=0	$- 3 x^{2} + 24 x + 144 = 0$
12711	Find the Derivative - d/dx	-6	$- 6$
12712	Find the Derivative - d/dx	f(x)=xe^(7x)	$f (x) = x e^{7 x}$
12713	Find the Derivative - d/d@VAR	f(x)=x+ square root of x	$f (x) = x + \sqrt{x}$
12714	Find the Derivative - d/d@VAR	f(x) = square root of 8-x	$f (x) = \sqrt{8 - x}$
12715	Find the Derivative - d/dx	f(x)=(x-1)/(2x+1)	$f (x) = \frac{x - 1}{2 x + 1}$
12716	Find the Derivative - d/dx	f(x)=(x-1)/(x-2)	$f (x) = \frac{x - 1}{x - 2}$
12717	Find the Derivative - d/dx	f(x)=(x-2)/(x+2)	$f (x) = \frac{x - 2}{x + 2}$
12718	Find the Derivative - d/dx	f(x)=0.0002x^3-0.06x^2+120x+5000	$f (x) = 0.0002 x^{3} - 0.06 x^{2} + 120 x + 5000$
12719	Find the Derivative - d/dx	f(x)=xe^xcsc(x)	$f (x) = x e^{x} \csc (x)$
12720	Find the Derivative - d/dx	f(x)=-0.013x+0.95	$f (x) = - 0.013 x + 0.95$
12721	Find the Derivative - d/dx	f(x)=0.2x^4-1.2x^3+0.6x^2+2.4x	$f (x) = 0.2 x^{4} - 1.2 x^{3} + 0.6 x^{2} + 2.4 x$
12722	Find the Derivative - d/dx	f(x)=-x^3-3x^2+9x-5	$f (x) = - x^{3} - 3 x^{2} + 9 x - 5$
12723	Find the Derivative - d/dx	f(x)=x^3-x^(1/3)+1/x	$f (x) = x^{3} - x^{\frac{1}{3}} + \frac{1}{x}$
12724	Find the Derivative - d/dx	f(x)=-x^3+9x^2-6x-9	$f (x) = - x^{3} + 9 x^{2} - 6 x - 9$
12725	Find the Derivative - d/dx	f(x)=x^3-2y^2+x^2y^2	$f (x) = x^{3} - 2 y^{2} + x^{2} y^{2}$
12726	Find the Derivative - d/dx	f(x)=x^3-4x+6	$f (x) = x^{3} - 4 x + 6$
12727	Find the Derivative - d/dx	f(x)=x^3-4x^2-7x+10	$f (x) = x^{3} - 4 x^{2} - 7 x + 10$
12728	Find the Derivative - d/dx	f(x)=x^3-15x^2+72x	$f (x) = x^{3} - 15 x^{2} + 72 x$
12729	Find the Derivative - d/dx	f(x)=x^3+3x^2-9x-13	$f (x) = x^{3} + 3 x^{2} - 9 x - 13$
12730	Find the Derivative - d/dx	f(x)=-x^3+6x^2-11x+6	$f (x) = - x^{3} + 6 x^{2} - 11 x + 6$
12731	Find the Derivative - d/dx	f(x)=x^3-9x^2+2	$f (x) = x^{3} - 9 x^{2} + 2$
12732	Find the Derivative - d/dx	f(x)=x^3sin(x)	$f (x) = x^{3} \sin (x)$
12733	Find the Antiderivative	5x^4	$5 x^{4}$
12734	Find the Derivative - d/dx	f(x)=x^3-6x^2+9x-8	$f (x) = x^{3} - 6 x^{2} + 9 x - 8$
12735	Find the Derivative - d/dx	f(x)=x^3-9x^2+27x-27	$f (x) = x^{3} - 9 x^{2} + 27 x - 27$
12736	Find the Derivative - d/dx	f(x)=x^4-12x^3	$f (x) = x^{4} - 12 x^{3}$
12737	Find the Derivative - d/dx	f(x)=x^2-5x+6	$f (x) = x^{2} - 5 x + 6$
12738	Find the Derivative - d/dx	f(x)=x^2cot(x)	$f (x) = x^{2} \cot (x)$
12739	Find the Derivative - d/dx	f(x)=x^2 natural log of x^2	$f (x) = x^{2} \ln (x^{2})$
12740	Find the Derivative - d/dx	f(x)=x^2-4x+5	$f (x) = x^{2} - 4 x + 5$
12741	Find the Derivative - d/dx	f(x)=x^2-4x+7	$f (x) = x^{2} - 4 x + 7$
12742	Find the Derivative Using Quotient Rule - d/d@VAR	f(x)=(8x)/(x^5+3)	$f (x) = \frac{8 x}{x^{5} + 3}$
12743	Find the Derivative - d/dx	f(x)=x^2-6x+5	$f (x) = x^{2} - 6 x + 5$
12744	Find the Derivative - d/dx	f(x)=x^2arctan(5x)	$f (x) = x^{2} \arctan (5 x)$
12745	Find the Derivative - d/dx	f(x)=x^3(x-9)^2	$f (x) = x^{3} {(x - 9)}^{2}$
12746	Find the Derivative - d/dx	f(x)=x^3e^(4x)	$f (x) = x^{3} e^{4 x}$
12747	Find the Derivative - d/dx	f(x)=-x^3	$f (x) = - x^{3}$
12748	Find the Derivative - d/dx	f(x)=x^3+3x^2-24x+6	$f (x) = x^{3} + 3 x^{2} - 24 x + 6$
12749	Find the Derivative - d/dx	f(x)=1-3x^2	$f (x) = 1 - 3 x^{2}$
12750	Find the Derivative - d/dx	f(x)=12 natural log of x	$f (x) = 12 \ln (x)$
12751	Find the Derivative - d/dx	f(x)=-10 natural log of x+13x^(2-11)	$f (x) = - 10 \ln (x) + 13 x^{2 - 11}$
12752	Find the Derivative - d/dx	f(x)=11e^x	$f (x) = 11 e^{x}$
12753	Find Where Increasing/Decreasing Using Derivatives	f(x)=6x^4+16x^3	$f (x) = 6 x^{4} + 16 x^{3}$
12754	Find the Derivative - d/dx	f(x)=xe^(ax)	$f (x) = x e^{a x}$
12755	Find the Derivative - d/dx	f(x)=0.6x^1.5	$f (x) = 0.6 x^{1.5}$
12756	Find the Derivative - d/dx	f(x)=10(3x+1)(1-5x)	$f (x) = 10 (3 x + 1) (1 - 5 x)$
12757	Find the Derivative - d/dx	f(x)=-100 square root of x-11x^(2/3)	$f (x) = - 100 \sqrt{x} - 11 x^{\frac{2}{3}}$
12758	Find the Derivative - d/dx	f(x)=17	$f (x) = 17$
12759	Find the Derivative - d/dx	f(x)=17e^x	$f (x) = 17 e^{x}$
12760	Find the Derivative - d/dx	f(x)=-18	$f (x) = - 18$
12761	Find the Derivative - d/dx	f(x)=2e^(3x)	$f (x) = 2 e^{3 x}$
12762	Find Where Increasing/Decreasing Using Derivatives	x^4-8x^2	$x^{4} - 8 x^{2}$
12763	Find the Derivative - d/dx	f(x)=1-6x-7x^2	$f (x) = 1 - 6 x - 7 x^{2}$
12764	Find the Derivative - d/dx	f(x)=-2ix+5x^2-7	$f (x) = - 2 i x + 5 x^{2} - 7$
12765	Find the Derivative - d/dx	f(x)=2.5+5.8x-1.9x^2	$f (x) = 2.5 + 5.8 x - 1.9 x^{2}$
12766	Find the Derivative - d/dx	f(x)=-2.15e^(-1.33x)	$f (x) = - 2.15 e^{- 1.33 x}$
12767	Find the Derivative - d/dx	f(x)=2(x^3-10)^100	$f (x) = 2 {(x^{3} - 10)}^{100}$
12768	Find the Derivative - d/dx	f(x)=-2x^3+3x^2+12x-5	$f (x) = - 2 x^{3} + 3 x^{2} + 12 x - 5$
12769	Find the Derivative - d/dx	f(x)=2x^3+3x^2-72x	$f (x) = 2 x^{3} + 3 x^{2} - 72 x$
12770	Find the Derivative - d/dx	f(x)=2x^2-3y^2	$f (x) = 2 x^{2} - 3 y^{2}$
12771	Find the Derivative - d/dx	f(x)=2x^2-3x-5	$f (x) = 2 x^{2} - 3 x - 5$
12772	Find the Derivative - d/dx	f(x)=2x^2-6x+3	$f (x) = 2 x^{2} - 6 x + 3$
12773	Find the Derivative - d/dx	f(x)=2x^2-5x+4	$f (x) = 2 x^{2} - 5 x + 4$
12774	Find the Derivative - d/dx	f(x)=2x^2-7x+5	$f (x) = 2 x^{2} - 7 x + 5$
12775	Graph	f(x)=3x^4+16x^3	$f (x) = 3 x^{4} + 16 x^{3}$
12776	Find the Derivative - d/dx	y=4x	$y = 4 x$
12777	Find the Derivative - d/dx	f(x)=2x^2+4	$f (x) = 2 x^{2} + 4$
12778	Find the Derivative - d/dx	f(x)=2px^2+(2px((5l)/(pr^2)))	$f (x) = 2 p x^{2} + (2 p x (\frac{5 l}{p r^{2}}))$
12779	Find the Derivative - d/dx	f(x)=2.4+2.8x-0.9x^2	$f (x) = 2.4 + 2.8 x - 0.9 x^{2}$
12780	Find the Derivative - d/dx	f(x)=2t^(-3/4)	$f (x) = 2 t^{- \frac{3}{4}}$
12781	Find the Derivative - d/dx	f(x)=2te^(r-1/( square root of t))	$f (x) = 2 t e^{r - \frac{1}{\sqrt{t}}}$
12782	Find the Derivative - d/dx	f(x)=2cos(3x)	$f (x) = 2 \cos (3 x)$
12783	Find the Derivative - d/dx	f(x)=2arcsin(x/4)	$f (x) = 2 \arcsin (\frac{x}{4})$
12784	Find the Derivative - d/dx	f(x)=2352x-0.16x^3	$f (x) = 2352 x - 0.16 x^{3}$
12785	Find the Derivative - d/dx	f(x)=28e^x-e^(2x)	$f (x) = 28 e^{x} - e^{2 x}$
12786	Find the Derivative - d/dx	f(x)=2-3x^2	$f (x) = 2 - 3 x^{2}$
12787	Find the Derivative - d/dx	f(x)=2+3 natural log of 1/x	$f (x) = 2 + 3 \ln (\frac{1}{x})$
12788	Find the Derivative - d/dx	f(x)=200-1/30x	$f (x) = 200 - \frac{1}{30} x$
12789	Find the Derivative - d/dx	f(x)=20 fourth root of x	$f (x) = 20 \sqrt[4]{x}$
12790	Find the Derivative - d/dx	f(x)=200x	$f (x) = 200 x$
12791	Find the Derivative - d/dx	f(x)=20x+ natural log of 20x	$f (x) = 20 x + \ln (20 x)$
12792	Find the Derivative - d/dx	f(x)=2x^2 natural log of 5x	$f (x) = 2 x^{2} \ln (5 x)$
12793	Find the Derivative - d/dx	f(x)=-2x^2-9x	$f (x) = - 2 x^{2} - 9 x$
12794	Find the Derivative - d/dx	f(x)=2x^2arctan(5x^3)	$f (x) = 2 x^{2} \arctan (5 x^{3})$
12795	Find the Derivative - d/dx	f(x)=2x^3-18x^2+48x+13	$f (x) = 2 x^{3} - 18 x^{2} + 48 x + 13$
12796	Find the Derivative - d/dx	f(x)=2x^3-4x^2+15x-17	$f (x) = 2 x^{3} - 4 x^{2} + 15 x - 17$
12797	Find the Derivative - d/dx	f(x)=2x^7+9	$f (x) = 2 x^{7} + 9$
12798	Find the Derivative - d/dx	f(x)=2y^2	$f (x) = 2 y^{2}$
12799	Find the Derivative - d/dx	e natural log of x	eln $(x)$
12800	Find the Derivative - d/dx	Dx( square root of 5xy)	$D x (\sqrt{5 x y})$