Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
53401	Find the Derivative Using Chain Rule - d/dx	y=(1/(y^2)-7/(y^4))(y+5y^3)	$y = (\frac{1}{y^{2}} - \frac{7}{y^{4}}) (y + 5 y^{3})$
53402	Find the Derivative Using Chain Rule - d/dx	y=( square root of 2x+5)tan(x^2+5x)	$y = (\sqrt{2 x + 5}) \tan (x^{2} + 5 x)$
53403	Find the Derivative Using Chain Rule - d/dx	y=(2x-5)^-1(x^2-5x)^6	$y = {(2 x - 5)}^{- 1} {(x^{2} - 5 x)}^{6}$
53404	Find the Derivative Using Chain Rule - d/dx	y=(3x+5)^8	$y = {(3 x + 5)}^{8}$
53405	Find the Derivative Using Chain Rule - d/dx	y=(-3x+8)^5	$y = {(- 3 x + 8)}^{5}$
53406	Find the Derivative Using Chain Rule - d/dx	y=(3x-1)^2(1-x^4)^2	$y = {(3 x - 1)}^{2} {(1 - x^{4})}^{2}$
53407	Find the Derivative Using Chain Rule - d/dx	y=(4x^2)/((7-5x)^3)	$y = \frac{4 x^{2}}{{(7 - 5 x)}^{3}}$
53408	Find the Derivative Using Chain Rule - d/dx	y=(4x^2-14)^-10	$y = {(4 x^{2} - 14)}^{- 10}$
53409	Find the Derivative Using Chain Rule - d/dx	y=(4x^2-8x+3)^4	$y = {(4 x^{2} - 8 x + 3)}^{4}$
53410	Find the Derivative Using Chain Rule - d/dx	y=(4x^5-4x^4+7)^300	$y = {(4 x^{5} - 4 x^{4} + 7)}^{300}$
53411	Find the Derivative Using Chain Rule - d/dx	y=(5x^3-3)^5 fourth root of -4x^5-3	$y = {(5 x^{3} - 3)}^{5} \sqrt[4]{- 4 x^{5} - 3}$
53412	Find the Derivative Using Chain Rule - d/dx	y=(5x^4+3)^3	$y = {(5 x^{4} + 3)}^{3}$
53413	Find the Derivative Using Chain Rule - d/dx	y=(5x+1)^4(3x+5)^-5	$y = {(5 x + 1)}^{4} {(3 x + 5)}^{- 5}$
53414	Find the Derivative Using Chain Rule - d/dx	y=(5x+14)^3	$y = {(5 x + 14)}^{3}$
53415	Find the Derivative Using Chain Rule - d/dx	y=(5x+9)^8	$y = {(5 x + 9)}^{8}$
53416	Find the Derivative Using Chain Rule - d/dx	y=(7x-12)^6	$y = {(7 x - 12)}^{6}$
53417	Find the Derivative Using Chain Rule - d/dx	y=(9x^2-4)^3	$y = {(9 x^{2} - 4)}^{3}$
53418	Find the Derivative Using Chain Rule - d/dx	y=(cos(x)+3sin(x))^7	$y = {(\cos (x) + 3 \sin (x))}^{7}$
53419	Find the Derivative Using Chain Rule - d/dx	y=( natural log of x)^5	$y = \ln^{5} (x)$
53420	Find the Derivative Using Chain Rule - d/dx	y=(sec(x)+csc(x))/(csc(x))	$y = \frac{\sec (x) + \csc (x)}{\csc (x)}$
53421	Find the Derivative Using Chain Rule - d/dx	y=(sec(x)+tan(x))^14	$y = {(\sec (x) + \tan (x))}^{14}$
53422	Find the Derivative Using Chain Rule - d/dx	y=(sin(x)+3cos(x))^9	$y = {(\sin (x) + 3 \cos (x))}^{9}$
53423	Find the Derivative Using Chain Rule - d/dx	y=(sin(x)+5cos(x))^6	$y = {(\sin (x) + 5 \cos (x))}^{6}$
53424	Find the Derivative Using Chain Rule - d/dx	y=(x^3-16x)^8	$y = {(x^{3} - 16 x)}^{8}$
53425	Find the Derivative Using Chain Rule - d/dx	y = cube root of u , u=cos(x)	$y = \sqrt[3]{u}$ , $u = \cos (x)$
53426	Find the Derivative Using Chain Rule - d/dx	y=1-cos(2x)+2cos(2x)^2	$y = 1 - \cos (2 x) + 2 \cos^{2} (2 x)$
53427	Find the Derivative Using Chain Rule - d/dx	y=5csc(x)sec(x)	$y = 5 \csc (x) \sec (x)$
53428	Find the Derivative Using Chain Rule - d/dx	y=5u^2-u+5 ; u=1-x^2	$y = 5 u^{2} - u + 5$ ; $u = 1 - x^{2}$
53429	Find the Derivative Using Chain Rule - d/dx	y=7xsin(x^2)	$y = 7 x \sin (x^{2})$
53430	Find the Derivative Using Chain Rule - d/dx	y=-8(5x^2+5)^-6	$y = - 8 {(5 x^{2} + 5)}^{- 6}$
53431	Find the Derivative Using Chain Rule - d/dx	y=8u+9 , u=(1/4)x^5	$y = 8 u + 9$ , $u = (\frac{1}{4}) x^{5}$
53432	Find the Derivative Using Chain Rule - d/dx	y=cos((8x)/3)	$y = \cos (\frac{8 x}{3})$
53433	Find the Derivative Using Chain Rule - d/dx	y=cos(x)^13	$y = \cos^{13} (x)$
53434	Find the Derivative Using Chain Rule - d/dx	y=cos(x)^15	$y = \cos^{15} (x)$
53435	Find the Derivative Using Chain Rule - d/dx	y=cos(x)^2-sin(x)^2	$y = \cos^{2} (x) - \sin^{2} (x)$
53436	Find the Derivative Using Chain Rule - d/dx	y=cos(sin(3x))^7	$y = \cos^{7} (\sin (3 x))$
53437	Find the Derivative Using Chain Rule - d/dx	y = natural log of sin(x)	$y = \ln (\sin (x))$
53438	Find the Derivative Using Chain Rule - d/dx	y = natural log of arctan(7x^4)	$y = \ln (\tan^{-1} (7 x^{4}))$
53439	Find the Derivative Using Chain Rule - d/dx	y = natural log of arctan(8x^5)	$y = \ln (\tan^{-1} (8 x^{5}))$
53440	Find the Derivative Using Chain Rule - d/dx	y = log base 6 of (x^2+2x)^(7/2)	$y = \log_{6} ({(x^{2} + 2 x)}^{\frac{7}{2}})$
53441	Find the Derivative Using Chain Rule - d/dx	y=sin(2cos(x))	$y = \sin (2 \cos (x))$
53442	Find the Derivative Using Chain Rule - d/dx	y=sin((7x)/8)	$y = \sin (\frac{7 x}{8})$
53443	Find the Derivative Using Chain Rule - d/dx	y=sin(8x^6+9x+4)	$y = \sin (8 x^{6} + 9 x + 4)$
53444	Find the Derivative Using Chain Rule - d/dx	y=sin(9 square root of x)	$y = \sin (9 \sqrt{x})$
53445	Find the Derivative Using Chain Rule - d/dx	y=sin(x)^16	$y = \sin^{16} (x)$
53446	Find the Derivative Using Chain Rule - d/dx	y=sin(cos(6x))^3	$y = \sin^{3} (\cos (6 x))$
53447	Find the Derivative Using Chain Rule - d/dx	y=sin(x^5)^3	$y = \sin^{3} (x^{5})$
53448	Find the Derivative Using Chain Rule - d/dx	y=sin(cos(5x))^9	$y = \sin^{9} (\cos (5 x))$
53449	Find the Derivative Using Chain Rule - d/dx	y=tan(16xe^x)	$y = \tan (16 x e^{x})$
53450	Find the Derivative Using Chain Rule - d/dx	y=tan(6xe^x)	$y = \tan (6 x e^{x})$
53451	Find the Derivative Using Chain Rule - d/dx	y=x^6f(x)	$y = x^{6} f (x)$
53452	Find the Derivative Using Chain Rule - d/dx	y=x^( natural log of x)	$y = x^{\ln (x)}$
53453	Convert to Rectangular	[2(cos(75 degrees )+isin(75 degrees ))]	$[2 (\cos (75 °) + i \sin (75 °))]$
53454	Convert to Rectangular	16(cos((4pi)/3)+isin((4pi)/3))	$16 (\cos (\frac{4 π}{3}) + i \sin (\frac{4 π}{3}))$
53455	Convert to Rectangular	3(cos(60 degrees )+isin(60 degrees ))	$3 (\cos (60 °) + i \sin (60 °))$
53456	Convert to Rectangular	r=7/(5sin(theta)-8cos(theta))	$r = \frac{7}{5 \sin (θ) - 8 \cos (θ)}$
53457	Convert to Rectangular	r=12sin(theta)+12cos(theta)	$r = 12 \sin (θ) + 12 \cos (θ)$
53458	Convert to Rectangular	r=5cos(theta)	$r = 5 \cos (θ)$
53459	Convert to Rectangular	r=6sec(theta)	$r = 6 \sec (θ)$
53460	Convert to Rectangular	r=7sin(theta)	$r = 7 \sin (θ)$
53461	Find Where Increasing/Decreasing Using Derivatives	1/3x^3+3/2x^2-70x+5	$\frac{1}{3} x^{3} + \frac{3}{2} x^{2} - 70 x + 5$
53462	Find Where Increasing/Decreasing Using Derivatives	136/(1+0.25(t-4.5)^2)+28	$\frac{136}{1 + 0.25 {(t - 4.5)}^{2}} + 28$
53463	Find Where Increasing/Decreasing Using Derivatives	2/3x^3-2x^2-6x-2	$\frac{2}{3} x^{3} - 2 x^{2} - 6 x - 2$
53464	Find Where Increasing/Decreasing Using Derivatives	(20x)/(x^2+25)	$\frac{20 x}{x^{2} + 25}$
53465	Find Where Increasing/Decreasing Using Derivatives	(30t)/(t^2+25)	$\frac{30 t}{t^{2} + 25}$
53466	Find Where Increasing/Decreasing Using Derivatives	(4x-1)/x	$\frac{4 x - 1}{x}$
53467	Find Where Increasing/Decreasing Using Derivatives	(x^2-1)^(2/3)+5	${(x^{2} - 1)}^{\frac{2}{3}} + 5$
53468	Find Where Increasing/Decreasing Using Derivatives	(x^4)/(x-15)	$\frac{x^{4}}{x - 15}$
53469	Find Where Increasing/Decreasing Using Derivatives	(x+2)^(2/5)	${(x + 2)}^{\frac{2}{5}}$
53470	Find Where Increasing/Decreasing Using Derivatives	(x+4)^(2/7)	${(x + 4)}^{\frac{2}{7}}$
53471	Find Where Increasing/Decreasing Using Derivatives	(x-4)^(8/9)	${(x - 4)}^{\frac{8}{9}}$
53472	Find Where Increasing/Decreasing Using Derivatives	(x-6)^2(x+9)	${(x - 6)}^{2} (x + 9)$
53473	Find Where Increasing/Decreasing Using Derivatives	(x-8)e^(-9x)	$(x - 8) e^{- 9 x}$
53474	Find Where Increasing/Decreasing Using Derivatives	(x-8)e^(-x)	$(x - 8) e^{- x}$
53475	Find Where Increasing/Decreasing Using Derivatives	-0.005x^2+2x-5000	$- 0.005 x^{2} + 2 x - 5000$
53476	Find Where Increasing/Decreasing Using Derivatives	-0.005x^2+6x-5000	$- 0.005 x^{2} + 6 x - 5000$
53477	Find Where Increasing/Decreasing Using Derivatives	-0.25x^4+22x^3-432x^2+85000	$- 0.25 x^{4} + 22 x^{3} - 432 x^{2} + 85000$
53478	Find Where Increasing/Decreasing Using Derivatives	square root of 30-x-x^2	$\sqrt{30 - x - x^{2}}$
53479	Find Where Increasing/Decreasing Using Derivatives	-0.004x^2+6x-5000	$- 0.004 x^{2} + 6 x - 5000$
53480	Find Where Increasing/Decreasing Using Derivatives	-0.005x^2+8x-5000	$- 0.005 x^{2} + 8 x - 5000$
53481	Find Where Increasing/Decreasing Using Derivatives	0.04t^3-0.18t^2	$0.04 t^{3} - 0.18 t^{2}$
53482	Find Where Increasing/Decreasing Using Derivatives	-12x^5+75x^4-80x^3	$- 12 x^{5} + 75 x^{4} - 80 x^{3}$
53483	Find Where Increasing/Decreasing Using Derivatives	2.36x-(x^2)/24000-3900	$2.36 x - \frac{x^{2}}{24000} - 3900$
53484	Find Where Increasing/Decreasing Using Derivatives	27x^2+54/x-4	$27 x^{2} + \frac{54}{x} - 4$
53485	Find Where Increasing/Decreasing Using Derivatives	2cos(theta)+cos(theta)^2	$2 \cos (θ) + \cos^{2} (θ)$
53486	Find Where Increasing/Decreasing Using Derivatives	2x^4-16x^3+36x^2	$2 x^{4} - 16 x^{3} + 36 x^{2}$
53487	Find Where Increasing/Decreasing Using Derivatives	3x^2 natural log of x^2-1	$3 x^{2} \ln (x^{2}) - 1$
53488	Find Where Increasing/Decreasing Using Derivatives	3x^3+9x^2-135x	$3 x^{3} + 9 x^{2} - 135 x$
53489	Find Where Increasing/Decreasing Using Derivatives	3x^3+9x^2-27x	$3 x^{3} + 9 x^{2} - 27 x$
53490	Find Where Increasing/Decreasing Using Derivatives	3x^3-18x^2+36x-25	$3 x^{3} - 18 x^{2} + 36 x - 25$
53491	Find Where Increasing/Decreasing Using Derivatives	3x^3-36x-2	$3 x^{3} - 36 x - 2$
53492	Find Where Increasing/Decreasing Using Derivatives	3x^4+8x^3-18x^2+5	$3 x^{4} + 8 x^{3} - 18 x^{2} + 5$
53493	Find Where Increasing/Decreasing Using Derivatives	4-5x	$4 - 5 x$
53494	Find Where Increasing/Decreasing Using Derivatives	-4cos(x)^2	$- 4 \cos^{2} (x)$
53495	Find Where Increasing/Decreasing Using Derivatives	4x^(3/11)-x^(4/11)	$4 x^{\frac{3}{11}} - x^{\frac{4}{11}}$
53496	Find Where Increasing/Decreasing Using Derivatives	5x-5cos(x)	$5 x - 5 \cos (x)$
53497	Find Where Increasing/Decreasing Using Derivatives	64x^2+128/x+3	$64 x^{2} + \frac{128}{x} + 3$
53498	Find Where Increasing/Decreasing Using Derivatives	-7x^3+21x+6	$- 7 x^{3} + 21 x + 6$
53499	Find Where Increasing/Decreasing Using Derivatives	8-8sin(x)	$8 - 8 \sin (x)$
53500	Find Where Increasing/Decreasing Using Derivatives	arctan(x^2-2x)	$\arctan (x^{2} - 2 x)$