Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
42701	Find the Derivative - d/d@VAR	f(x)=3sin( square root of x)^2	$f (x) = 3 \sin^{2} (\sqrt{x})$
42702	Find the Derivative - d/d@VAR	f(x)=3(x+1)^2	$f (x) = 3 {(x + 1)}^{2}$
42703	Find the Derivative - d/d@VAR	f(x)=3(x-4)^(2/3)+6	$f (x) = 3 {(x - 4)}^{\frac{2}{3}} + 6$
42704	Find the Derivative - d/d@VAR	f(x)=(3(x^2))/(5x-1)	$f (x) = \frac{3 (x^{2})}{5 x - 1}$
42705	Find the Derivative - d/d@VAR	f(x)=3-\|x-3\|	$f (x) = 3 - \| x - 3 \|$
42706	Find the Derivative - d/d@VAR	f(x)=3-1/(x+2)	$f (x) = 3 - \frac{1}{x + 2}$
42707	Find the Derivative - d/d@VAR	f(x)=3-3/(5(3/5))	$f (x) = 3 - \frac{3}{5 (\frac{3}{5})}$
42708	Find the Derivative - d/d@VAR	f(x)=3-6^(x^1*40)	$f (x) = 3 - 6^{x^{1} \cdot 40}$
42709	Find the Derivative - d/d@VAR	f(x)=3-6^(x(140))	$f (x) = 3 - 6^{x (140)}$
42710	Find the Derivative - d/d@VAR	f(x)=3-(6y)/(1-2y^2)	$f (x) = 3 - \frac{6 y}{1 - 2 y^{2}}$
42711	Find the Derivative - d/d@VAR	f(x)=3aP^2+7bP^3	$f (x) = 3 a P^{2} + 7 b P^{3}$
42712	Find the Derivative - d/d@VAR	f(x)=3ax^4b^5-a^4x^3b^4	$f (x) = 3 a x^{4} b^{5} - a^{4} x^{3} b^{4}$
42713	Find the Derivative - d/d@VAR	f(x)=-3cos(x)^2*sin(x)	$f (x) = - 3 \cos^{2} (x) \cdot \sin (x)$
42714	Find the Derivative - d/d@VAR	f(x)=-3csc(x)^5cos((2x-1)/(3x+4))	$f (x) = - 3 \csc^{5} (x) \cos (\frac{2 x - 1}{3 x + 4})$
42715	Find the Derivative - d/d@VAR	f(x)=3e^( fourth root of x^2-3x)	$f (x) = 3 e^{\sqrt[4]{x^{2} - 3 x}}$
42716	Find the Derivative - d/d@VAR	f(x)=3e^(-2cos(x)^2)-3/(e^2)	$f (x) = 3 e^{- 2 \cos^{2} (x)} - \frac{3}{e^{2}}$
42717	Find the Derivative - d/d@VAR	f(x)=3e^( square root of x)	$f (x) = 3 e^{\sqrt{x}}$
42718	Find the Derivative - d/d@VAR	f(x)=3e^(1-x^2)	$f (x) = 3 e^{1 - x^{2}}$
42719	Find the Derivative - d/d@VAR	f(x)=3e^(1-x^2)* natural log of x	$f (x) = 3 e^{1 - x^{2}} \cdot \ln (x)$
42720	Find the Derivative - d/d@VAR	f(x)=3e^(2x)	$f (x) = 3 e^{2 x}$
42721	Find the Derivative - d/d@VAR	f(x)=3e^(-2x)	$f (x) = 3 e^{- 2 x}$
42722	Find the Derivative - d/d@VAR	f(x)=3e^(-3x)	$f (x) = 3 e^{- 3 x}$
42723	Find the Derivative - d/d@VAR	f(x)=-3e^(4x^2-5x+3)	$f (x) = - 3 e^{4 x^{2} - 5 x + 3}$
42724	Find the Derivative - d/d@VAR	f(x)=3e^(x-4)	$f (x) = 3 e^{x - 4}$
42725	Find the Derivative - d/d@VAR	f(x)=3 log base 5 of x-4	$f (x) = 3 \log_{5} (x - 4)$
42726	Find the Derivative - d/d@VAR	f(x)=3p^2	$f (x) = 3 p^{2}$
42727	Find the Derivative - d/d@VAR	f(x)=-(3(sec(x)))/5+6 square root of x	$f (x) = - \frac{3 (\sec (x))}{5} + 6 \sqrt{x}$
42728	Find the Derivative - d/d@VAR	f(x)=3t^(-5/3)	$f (x) = 3 t^{- \frac{5}{3}}$
42729	Find the Derivative - d/d@VAR	f(x)=3t^2+6/(t^7)	$f (x) = 3 t^{2} + \frac{6}{t^{7}}$
42730	Find the Derivative - d/d@VAR	f(x)=3t^2+6tv-v^2t	$f (x) = 3 t^{2} + 6 t v - v^{2} t$
42731	Find the Derivative - d/d@VAR	f(x)=3t^2+7t+14	$f (x) = 3 t^{2} + 7 t + 14$
42732	Find the Derivative - d/d@VAR	f(x)=3t^3-t^2+8t-5	$f (x) = 3 t^{3} - t^{2} + 8 t - 5$
42733	Find the Derivative - d/d@VAR	f(x)=3t^3+2 square root of t	$f (x) = 3 t^{3} + 2 \sqrt{t}$
42734	Find the Derivative - d/d@VAR	f(x)=-3t^3+400t	$f (x) = - 3 t^{3} + 400 t$
42735	Find the Derivative - d/d@VAR	f(x)=-3t^3+450t^2-21 , 600t+1 , 100	$f (x) = - 3 t^{3} + 450 t^{2} - 21$ , $600 t + 1$ , $100$
42736	Find the Derivative - d/d@VAR	f(x)=3e^(-9x)	$f (x) = 3 e^{- 9 x}$
42737	Find the Derivative - d/d@VAR	f(x)=3e^x+ natural log of (x)^5	$f (x) = 3 e^{x} + \ln ({(x)}^{5})$
42738	Find the Derivative - d/d@VAR	f(x)=3e^x+xe^x	$f (x) = 3 e^{x} + x e^{x}$
42739	Find the Derivative - d/d@VAR	f(x)=3e^x-5x+x^5	$f (x) = 3 e^{x} - 5 x + x^{5}$
42740	Find the Derivative - d/d@VAR	f(x)=3e^x-60 fifth root of x+2 cube root of x	$f (x) = 3 e^{x} - 60 \sqrt[5]{x} + 2 \sqrt[3]{x}$
42741	Find the Derivative - d/d@VAR	f(x)=3 cube root of x-4/x	$f (x) = 3 \sqrt[3]{x} - \frac{4}{x}$
42742	Find the Derivative - d/d@VAR	f(x)=-3 fourth root of 2-9x	$f (x) = - 3 \sqrt[4]{2 - 9 x}$
42743	Find the Derivative - d/du	(u^-2+u^-3)(u^5-8u^2)	$(u^{- 2} + u^{- 3}) (u^{5} - 8 u^{2})$
42744	Find the Derivative - d/d@VAR	f(x)=3w^6+5w^4+7w	$f (x) = 3 w^{6} + 5 w^{4} + 7 w$
42745	Find the Derivative - d/d@VAR	f(x)=3x^(-1/2)	$f (x) = 3 x^{- \frac{1}{2}}$
42746	Find the Derivative - d/d@VAR	f(x)=3x^(1/3)-2x^(1/2)+x^-1	$f (x) = 3 x^{\frac{1}{3}} - 2 x^{\frac{1}{2}} + x^{- 1}$
42747	Find the Derivative - d/d@VAR	f(x)=3x^(2/5)-x^(3/5)	$f (x) = 3 x^{\frac{2}{5}} - x^{\frac{3}{5}}$
42748	Find the Derivative - d/d@VAR	f(x)=3x^(4/3)	$f (x) = 3 x^{\frac{4}{3}}$
42749	Find the Derivative - d/d@VAR	f(x)=3x^(4/3)+2x^4-7 square root of x	$f (x) = 3 x^{\frac{4}{3}} + 2 x^{4} - 7 \sqrt{x}$
42750	Find the Derivative - d/d@VAR	f(x)=3x^(4/7)	$f (x) = 3 x^{\frac{4}{7}}$
42751	Find the Derivative - d/d@VAR	f(x)=3x^(5/3)-15x^(2/3)	$f (x) = 3 x^{\frac{5}{3}} - 15 x^{\frac{2}{3}}$
42752	Find the Derivative - d/d@VAR	g(x) = square root of 8-x	$g (x) = \sqrt{8 - x}$
42753	Find the Derivative - d/d@VAR	f(x)=23x(x^2-1)	$f (x) = 23 x (x^{2} - 1)$
42754	Find the Derivative - d/d@VAR	f(x)=24+6x+x^2	$f (x) = 24 + 6 x + x^{2}$
42755	Find the Derivative - d/d@VAR	f(x)=2400-1200x	$f (x) = 2400 - 1200 x$
42756	Find the Derivative - d/d@VAR	f(x)=2400x-2x^2	$f (x) = 2400 x - 2 x^{2}$
42757	Find the Derivative - d/d@VAR	f(x)=240x+57x^2-x^3	$f (x) = 240 x + 57 x^{2} - x^{3}$
42758	Find the Derivative - d/d@VAR	f(x)=24x+ natural log of 24x	$f (x) = 24 x + \ln (24 x)$
42759	Find the Derivative - d/d@VAR	f(x)=25	$f (x) = 25$
42760	Find the Derivative - d/d@VAR	f(x)=25x^2	$f (x) = 25 x^{2}$
42761	Find the Derivative - d/d@VAR	f(x)=25-x^2	$f (x) = 25 - x^{2}$
42762	Find the Derivative - d/d@VAR	f(x)=2-5x^2-cos(x)	$f (x) = 2 - 5 x^{2} - \cos (x)$
42763	Find the Derivative - d/d@VAR	f(x)=25x^4-70x^3-26x^2+210x-147	$f (x) = 25 x^{4} - 70 x^{3} - 26 x^{2} + 210 x - 147$
42764	Find the Derivative - d/d@VAR	f(x)=25x^6-3x^4- square root of 17	$f (x) = 25 x^{6} - 3 x^{4} - \sqrt{17}$
42765	Find the Derivative - d/d@VAR	f(x)=25+(100-25e^(-0.5*0))	$f (x) = 25 + (100 - 25 e^{- 0.5 \cdot 0})$
42766	Find the Derivative - d/d@VAR	f(x)=250+10x+0.1x^2	$f (x) = 250 + 10 x + 0.1 x^{2}$
42767	Find the Derivative - d/d@VAR	f(x)=256x^3	$f (x) = 256 x^{3}$
42768	Find the Derivative - d/d@VAR	f(x)=2-5x+x^2	$f (x) = 2 - 5 x + x^{2}$
42769	Find the Derivative - d/d@VAR	f(x)=26* natural log of x^35+10x+6	$f (x) = 26 \cdot \ln (x^{35} + 10 x + 6)$
42770	Find the Derivative - d/d@VAR	f(x)=26.74x-2.01x^2	$f (x) = 26.74 x - 2.01 x^{2}$
42771	Find the Derivative - d/d@VAR	f(x)=260	$f (x) = 260$
42772	Find the Derivative - d/d@VAR	f(x)=260+29x+5x^2	$f (x) = 260 + 29 x + 5 x^{2}$
42773	Find the Derivative - d/d@VAR	f(x)=-2-6x	$f (x) = - 2 - 6 x$
42774	Find the Derivative - d/d@VAR	f(x)=26x-4x^3	$f (x) = 26 x - 4 x^{3}$
42775	Find the Derivative - d/d@VAR	f(x)=27(0.84)^x	$f (x) = 27 {(0.84)}^{x}$
42776	Find the Derivative - d/d@VAR	f(x)=-27x^2+17x+11	$f (x) = - 27 x^{2} + 17 x + 11$
42777	Find the Derivative - d/d@VAR	f(x)=270x-18x^2	$f (x) = 270 x - 18 x^{2}$
42778	Find the Derivative - d/d@VAR	f(x)=28	$f (x) = 28$
42779	Find the Derivative - d/d@VAR	f(x)=28-2W	$f (x) = 28 - 2 W$
42780	Find the Derivative - d/d@VAR	f(x)=288-8x^2	$f (x) = 288 - 8 x^{2}$
42781	Find the Derivative - d/d@VAR	f(x)=28x	$f (x) = 28 x$
42782	Find the Derivative - d/d@VAR	f(x)=28x+ natural log of 28x	$f (x) = 28 x + \ln (28 x)$
42783	Find the Derivative - d/d@VAR	f(x)=29-17 natural log of x^3	$f (x) = 29 - 17 \ln (x^{3})$
42784	Find the Derivative - d/d@VAR	f(x)=29x-17 natural log of x^3	$f (x) = 29 x - 17 \ln (x^{3})$
42785	Find the Derivative - d/d@VAR	f(x)=2x^7-x^3-5x	$f (x) = 2 x^{7} - x^{3} - 5 x$
42786	Find the Derivative - d/d@VAR	f(x)=2x^9e^(-3x^4)	$f (x) = 2 x^{9} e^{- 3 x^{4}}$
42787	Find the Derivative - d/d@VAR	f(x)=-2xe^(-x^2)	$f (x) = - 2 x e^{- x^{2}}$
42788	Find the Derivative - d/d@VAR	f(x)=2xe^(3x)	$f (x) = 2 x e^{3 x}$
42789	Find the Derivative - d/d@VAR	f(x)=2x^2-3x+4	$f (x) = 2 x^{2} - 3 x + 4$
42790	Find the Derivative - d/d@VAR	f(x)=2xe^x	$f (x) = 2 x e^{x}$
42791	Find the Derivative - d/d@VAR	f(x)=-2xe^x	$f (x) = - 2 x e^{x}$
42792	Find the Derivative - d/d@VAR	f(x)=2xe^(-x)	$f (x) = 2 x e^{- x}$
42793	Find the Derivative - d/d@VAR	f(x)=2xe^(-x)-x^2e^(-x)	$f (x) = 2 x e^{- x} - x^{2} e^{- x}$
42794	Find the Derivative - d/d@VAR	f(x)=2ze^(z^2)	$f (x) = 2 z e^{z^{2}}$
42795	Find the Derivative - d/d@VAR	f(x)=2+(8+7x)^(2/7)	$f (x) = 2 + {(8 + 7 x)}^{\frac{2}{7}}$
42796	Find the Derivative - d/d@VAR	f(x)=2+6/x+7/(x^2)	$f (x) = 2 + \frac{6}{x} + \frac{7}{x^{2}}$
42797	Find the Derivative - d/d@VAR	f(x)=2+ cube root of 7/3+7/3x	$f (x) = 2 + \sqrt[3]{\frac{7}{3} + \frac{7}{3} x}$
42798	Find the Derivative - d/d@VAR	f(x)=2+2e^(-0.2x)	$f (x) = 2 + 2 e^{- 0.2 x}$
42799	Find the Derivative - d/d@VAR	f(x)=20	$f (x) = 20$
42800	Find the Derivative - d/d@VAR	f(x)=20(t/12- natural log of t/13)+30	$f (x) = 20 (\frac{t}{12} - \ln (\frac{t}{13})) + 30$