Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
12601	Find the Derivative - d/dx	f(x)=6x^3	$f (x) = 6 x^{3}$
12602	Find the Derivative - d/d@VAR	f(x)=6e^x	$f (x) = 6 e^{x}$
12603	Find the Derivative - d/dx	f(x)=5p^6	$f (x) = 5 p^{6}$
12604	Find the Derivative - d/d@VAR	f(x)=3x+5x^2	$f (x) = 3 x + 5 x^{2}$
12605	Find the Derivative - d/dx	f(x)=5x^(4/3)	$f (x) = 5 x^{\frac{4}{3}}$
12606	Find the Derivative - d/dx	f(x)=-5e^(2x)	$f (x) = - 5 e^{2 x}$
12607	Find the Derivative - d/dx	f(x)=5cos(x)^2	$f (x) = 5 \cos^{2} (x)$
12608	Find the Derivative - d/dx	f(x)=5-4/x	$f (x) = 5 - \frac{4}{x}$
12609	Find the Derivative - d/dx	f(x)=5cos(pix)^2	$f (x) = 5 \cos^{2} (π x)$
12610	Find the Derivative - d/dx	f(x)=4x-10	$f (x) = 4 x - 10$
12611	Find the Derivative - d/d@VAR	f(x)=4x-3	$f (x) = 4 x - 3$
12612	Find the Derivative - d/dx	f(x)=5x^3-3x^2+1	$f (x) = 5 x^{3} - 3 x^{2} + 1$
12613	Find the Derivative - d/dx	f(x)=5x^2-3x+7	$f (x) = 5 x^{2} - 3 x + 7$
12614	Find the Derivative - d/d@VAR	f(x) = natural log of 14x	$f (x) = \ln (14 x)$
12615	Find the Derivative - d/d@VAR	f(x)=x/( square root of 2x-1)	$f (x) = \frac{x}{\sqrt{2 x - 1}}$
12616	Find the Derivative - d/dx	f(x)=4x^3-3x^2+2x+p	$f (x) = 4 x^{3} - 3 x^{2} + 2 x + p$
12617	Find the Derivative - d/dx	f(x)=4x^3-3x^2-6x+12	$f (x) = 4 x^{3} - 3 x^{2} - 6 x + 12$
12618	Find the Derivative - d/dx	f(x)=4x^3-5x^2+8	$f (x) = 4 x^{3} - 5 x^{2} + 8$
12619	Find the Derivative - d/dx	f(x)=4x^4-1/(4x^4)	$f (x) = 4 x^{4} - \frac{1}{4 x^{4}}$
12620	Find the Derivative - d/dx	f(x)=4x^4-3x^(5/2)+2	$f (x) = 4 x^{4} - 3 x^{\frac{5}{2}} + 2$
12621	Find the Derivative - d/dx	f(x)=4y^2(y^2+1)^(5/4)	$f (x) = 4 y^{2} {(y^{2} + 1)}^{\frac{5}{4}}$
12622	Find the Derivative - d/dx	f(x)=4-3x^2	$f (x) = 4 - 3 x^{2}$
12623	Find the Derivative - d/dx	f(x)=4sin(x)+9cos(x)	$f (x) = 4 \sin (x) + 9 \cos (x)$
12624	Find the Derivative - d/dx	f(x)=4x(216x^-2)+2x^2	$f (x) = 4 x (216 x^{- 2}) + 2 x^{2}$
12625	Find the Derivative - d/dx	f(x)=4x-3x^2	$f (x) = 4 x - 3 x^{2}$
12626	Find the Derivative - d/d@VAR	f(x)=(4x+1)^2	$f (x) = {(4 x + 1)}^{2}$
12627	Find the Derivative - d/dx	f(x)=4xe^x-4e^x	$f (x) = 4 x e^{x} - 4 e^{x}$
12628	Find the Derivative - d/dx	f(x)=4cos(2 natural log of x)	$f (x) = 4 \cos (2 \ln (x))$
12629	Find the Derivative - d/dx	f(x)=4-11x	$f (x) = 4 - 11 x$
12630	Find the Derivative - d/dx	f(x)=4x^5-7x^3+6x+11	$f (x) = 4 x^{5} - 7 x^{3} + 6 x + 11$
12631	Find the Derivative - d/dx	f(x)=4x^7-3x^6+9x^3-5x+9	$f (x) = 4 x^{7} - 3 x^{6} + 9 x^{3} - 5 x + 9$
12632	Find the Derivative - d/dx	f(x)=4cos(x+pi)	$f (x) = 4 \cos (x + π)$
12633	Find the Derivative - d/dx	f(x)=4x^2-3x	$f (x) = 4 x^{2} - 3 x$
12634	Find the Derivative - d/dx	f(x)=4cos(x)+sin(x)^2	$f (x) = 4 \cos (x) + \sin^{2} (x)$
12635	Find the Derivative - d/dx	f(x)=4csc(2x^3-1)	$f (x) = 4 \csc (2 x^{3} - 1)$
12636	Find the Derivative - d/dx	f(x)=4 natural log of x+ natural log of x^6+8e^x	$f (x) = 4 \ln (x) + \ln (x^{6}) + 8 e^{x}$
12637	Find the Derivative - d/dx	f(x)=340	$f (x) = 340$
12638	Evaluate the Limit	limit as x approaches 14 of (x^2+3x-238)/(x^2-196)	$lim_{x \to 14} \frac{x^{2} + 3 x - 238}{x^{2} - 196}$
12639	Evaluate the Limit	limit as x approaches 4 of ( square root of x+12-4)/(x-4)	$lim_{x \to 4} \frac{\sqrt{x + 12} - 4}{x - 4}$
12640	Find the Derivative - d/dx	f(x)=3 natural log of 1+x^2	$f (x) = 3 \ln (1 + x^{2})$
12641	Find the Derivative - d/dx	f(x)=3x^5-5x^3	$f (x) = 3 x^{5} - 5 x^{3}$
12642	Find the Derivative - d/dx	f(x)=3xe^xcsc(x)	$f (x) = 3 x e^{x} \csc (x)$
12643	Expand the Logarithmic Expression	log base 8 of ( square root of 10)/9	$\log_{8} (\frac{\sqrt{10}}{9})$
12644	Find the Derivative - d/dx	f(x)=-3 natural log of sin(x)	$f (x) = - 3 \ln (\sin (x))$
12645	Find the Derivative - d/dx	f(x)=3x^5-8e^x	$f (x) = 3 x^{5} - 8 e^{x}$
12646	Graph	y=3x^5-5x^3+1	$y = 3 x^{5} - 5 x^{3} + 1$
12647	Find the Derivative - d/dx	f(x)=-4x^2cos(x)	$f (x) = - 4 x^{2} \cos (x)$
12648	Find the Derivative - d/dx	f(x)=4x^2+3x-2	$f (x) = 4 x^{2} + 3 x - 2$
12649	Find the Derivative - d/dx	f(x)=4x^2-3x+2	$f (x) = 4 x^{2} - 3 x + 2$
12650	Find the Derivative - d/dx	f(x)=4e^(-3x)	$f (x) = 4 e^{- 3 x}$
12651	Find the Derivative - d/dx	f(x)=4e^(-3x)tan(2x)	$f (x) = 4 e^{- 3 x} \tan (2 x)$
12652	Find the Derivative - d/dx	f(x)=4 square root of x	$f (x) = 4 \sqrt{x}$
12653	Find the Derivative - d/dx	f(x)=4 square root of 6x^2-7x	$f (x) = 4 \sqrt{6 x^{2} - 7 x}$
12654	Find the Critical Points	-x^2-16x-64	$- x^{2} - 16 x - 64$
12655	Find the Derivative - d/dx	f(x)=4x^2-1/2x^3	$f (x) = 4 x^{2} - \frac{1}{2} x^{3}$
12656	Find the Horizontal Tangent Line	y=x^2-8	$y = x^{2} - 8$
12657	Find the Derivative - d/dx	f(x)=3x-14	$f (x) = 3 x - 14$
12658	Find the Derivative - d/dx	f(x)=3x-7x^2	$f (x) = 3 x - 7 x^{2}$
12659	Find the Derivative - d/dx	f(x)=3x-4	$f (x) = 3 x - 4$
12660	Evaluate the Derivative at @EQ	y=3x-2 , y=4x	$y = 3 x - 2$ , $y = 4 x$
12661	Find the Derivative - d/dx	f(x)=4(3x-4)^3	$f (x) = 4 {(3 x - 4)}^{3}$
12662	Find the Derivative - d/dx	f(x)=3x-cos(x)	$f (x) = 3 x - \cos (x)$
12663	Find the Derivative - d/dx	f(x)=4-\|0\|	$f (x) = 4 - \| 0 \|$
12664	Find the Derivative - d/dx	f(x)=4e^(3x+5)	$f (x) = 4 e^{3 x + 5}$
12665	Find the Derivative - d/dx	f(x)=4e^(-9x)	$f (x) = 4 e^{- 9 x}$
12666	Find the Derivative - d/dx	f(x)=4e^xcos(x)	$f (x) = 4 e^{x} \cos (x)$
12667	Find the Derivative - d/dx	f(x)=4e^xcos(x)-sin(x)*(4e^x)	$f (x) = 4 e^{x} \cos (x) - \sin (x) \cdot (4 e^{x})$
12668	Find the Derivative - d/dx	f(x)=-4 log base 2 of -3x	$f (x) = - 4 \log_{2} (- 3 x)$
12669	Find the Derivative - d/dx	f(x)=4sec(3x^2+5)^3	$f (x) = 4 \sec^{3} (3 x^{2} + 5)$
12670	Find the Derivative - d/dx	f(x)=2sin(x)+sin(2x)	$f (x) = 2 \sin (x) + \sin (2 x)$
12671	Find the Derivative - d/dx	f(x)=2tan(6x^3)	$f (x) = 2 \tan (6 x^{3})$
12672	Find the Derivative - d/dx	f(x)=-2cos(x)+5	$f (x) = - 2 \cos (x) + 5$
12673	Find the Derivative - d/dx	f(x)=2sin(x)+cos(x)	$f (x) = 2 \sin (x) + \cos (x)$
12674	Find the Derivative - d/dx	f(x)=2sin(2x)	$f (x) = 2 \sin (2 x)$
12675	Find the Derivative - d/dx	f(x)=2sin(x)	$f (x) = 2 \sin (x)$
12676	Find the Derivative - d/dx	f(x)=2sin(x)-3cos(x)+xtan(x)	$f (x) = 2 \sin (x) - 3 \cos (x) + x \tan (x)$
12677	Find the Derivative - d/dx	f(x)=2sin(x)cos(x)	$f (x) = 2 \sin (x) \cos (x)$
12678	Find the Derivative - d/dx	f(x)=2 natural log of x^2-3x+4	$f (x) = 2 \ln (x^{2} - 3 x + 4)$
12679	Evaluate the Integral	integral of 10x^4 with respect to x	$\int 10 x^{4} d x$
12680	Find the Derivative - d/dx	f(x)=-2x+5	$f (x) = - 2 x + 5$
12681	Evaluate the Summation	sum from k=1 to 32 of k	$\sum_{k = 1}^{32} k$
12682	Find the Derivative - d/dx	f(x)=2xy	$f (x) = 2 x y$
12683	Find the Derivative - d/dx	f(x)=3(5-7x)^5	$f (x) = 3 {(5 - 7 x)}^{5}$
12684	Find the Derivative - d/dx	f(x)=3e^(4x)	$f (x) = 3 e^{4 x}$
12685	Find the Derivative - d/dx	f(x)=3x^2-5	$f (x) = 3 x^{2} - 5$
12686	Find the Derivative - d/dx	f(x)=3x^3-13x-5/(x^3)	$f (x) = 3 x^{3} - 13 x - \frac{5}{x^{3}}$
12687	Find the Derivative - d/dx	f(x)=3x^2-4x+5	$f (x) = 3 x^{2} - 4 x + 5$
12688	Evaluate the Integral	integral of 1/(x^6) with respect to x	$\int \frac{1}{x^{6}} d x$
12689	Find the Derivative - d/dx	f(x)=3x^2-3x	$f (x) = 3 x^{2} - 3 x$
12690	Find the Derivative - d/dx	f(x)=3e^(2x)	$f (x) = 3 e^{2 x}$
12691	Find the Derivative - d/dx	f(x)=-3 log base 4 of x-3	$f (x) = - 3 \log_{4} (x - 3)$
12692	Find the Derivative - d/dx	f(x)=-3e^(-3x)	$f (x) = - 3 e^{- 3 x}$
12693	Find the Derivative - d/dx	f(x)=3x^2e^(4x+1)	$f (x) = 3 x^{2} e^{4 x + 1}$
12694	Find the Derivative - d/dx	f(x)=x^500	$f (x) = x^{500}$
12695	Evaluate	square root of 3(pi/3)+2cos(pi/3)	$\sqrt{3} (\frac{π}{3}) + 2 \cos (\frac{π}{3})$
12696	Find the Derivative - d/dx	f(x)=x^5-2x^3+x-12	$f (x) = x^{5} - 2 x^{3} + x - 12$
12697	Find the Derivative - d/dx	f(x)=x^5-4x+2	$f (x) = x^{5} - 4 x + 2$
12698	Find the Derivative - d/dx	f(x)=x^5-5x+3	$f (x) = x^{5} - 5 x + 3$
12699	Find the Derivative - d/dx	f(x)=x^4-8x^2+8	$f (x) = x^{4} - 8 x^{2} + 8$
12700	Find the Derivative - d/dx	f(x)=x^5(5.5)^x	$f (x) = x^{5} {(5.5)}^{x}$