Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
17901	Find the Derivative - d/dt	y=(16t)/(t^2+16)	$y = \frac{16 t}{t^{2} + 16}$
17902	Find the Derivative - d/dT	y = natural log of (e^(10x))/(1+e^(10x))	$y = \ln (\frac{e^{10 x}}{1 + e^{10 x}})$
17903	Find the Derivative - d/dt	y=4e^t(e^(4t)-e^t)	$y = 4 e^{t} (e^{4 t} - e^{t})$
17904	Find the Horizontal Tangent Line	y=x^2+2x-3	$y = x^{2} + 2 x - 3$
17905	Find the Derivative - d/dt	y=t/((t-2)^2)	$y = \frac{t}{{(t - 2)}^{2}}$
17906	Find the Derivative - d/dt	y=te^(-t)	$y = t e^{- t}$
17907	Find the Derivative - d/dt	y = cube root of t+2 square root of t^3	$y = \sqrt[3]{t} + 2 \sqrt{t^{3}}$
17908	Find the Derivative - d/dt	y = square root of t	$y = \sqrt{t}$
17909	Find the Derivative - d/dt	y=2t^2-5t+1	$y = 2 t^{2} - 5 t + 1$
17910	Find the Horizontal Tangent Line	f(x)=(x^2)/(x-8)	$f (x) = \frac{x^{2}}{x - 8}$
17911	Find the Derivative - d/dt	tan(e^(8t))+e^(tan(8t))	$\tan (e^{8 t}) + e^{\tan (8 t)}$
17912	Find the Derivative - d/dt	t square root of 2t+1	$t \sqrt{2 t + 1}$
17913	Find the Derivative - d/dt	sin(t)cos(t)	$\sin (t) \cos (t)$
17914	Find Where Increasing/Decreasing Using Derivatives	f(x)=3x^2-12x-8	$f (x) = 3 x^{2} - 12 x - 8$
17915	Find the Derivative - d/dt	sin(h( natural log of t))	$\sinh (\ln (t))$
17916	Find the Derivative - d/dt	t square root of 10-2t	$t \sqrt{10 - 2 t}$
17917	Find the Derivative - d/dt	p(t)=12te^(-t/7)	$p (t) = 12 t e^{- \frac{t}{7}}$
17918	Find the Derivative - d/dt	s(t)=4.905t^2	$s (t) = 4.905 t^{2}$
17919	Find the Derivative - d/dt	s(t)=4t^2+12t	$s (t) = 4 t^{2} + 12 t$
17920	Find the Derivative - d/dt	te	$t e$
17921	Find the Derivative - d/dt	y(t)=sin(4pit+pi/2)	$y (t) = \sin (4 π t + \frac{π}{2})$
17922	Find the Derivative - d/dt	natural log of sin(t^2)	$\ln (\sin (t^{2}))$
17923	Find the Derivative - d/dt	natural log of t*5^t	$\ln (t \cdot 5^{t})$
17924	Find the Derivative - d/dt	natural log of t+1	$\ln (t + 1)$
17925	Find the Derivative - d/dt	p(t)=( square root of t)/(t-1)	$p (t) = \frac{\sqrt{t}}{t - 1}$
17926	Find the Derivative - d/dt	p(t)=(8t)/((t+5)^2)	$p (t) = \frac{8 t}{{(t + 5)}^{2}}$
17927	Find the Derivative - d/dt	p(t)=188e^(0.018t)	$p (t) = 188 e^{0.018 t}$
17928	Find the Derivative - d/dt	p(t)=4t^2+21t+100	$p (t) = 4 t^{2} + 21 t + 100$
17929	Find the Derivative - d/dt	q(t)=10.0tcos(0.5)+10.0tsin(0.8)	$q (t) = 10 t \cos (0.5) + 10 t \sin (0.8)$
17930	Find the Derivative - d/dt	r(t)=(t+e^t)(4- square root of t)	$r (t) = (t + e^{t}) (4 - \sqrt{t})$
17931	Find the Derivative - d/dt	s(t)=4/(3pi)*sin(3t)	$s (t) = \frac{4}{3 π} \cdot \sin (3 t)$
17932	Find the Derivative - d/dt	s(t)=t^3-2t+4	$s (t) = t^{3} - 2 t + 4$
17933	Find the Derivative - d/dt	p(t)=0.45t^2-12t+105	$p (t) = 0.45 t^{2} - 12 t + 105$
17934	Find the Derivative - d/dt	s(t)=(90t^2)/(t^2+150)	$s (t) = \frac{90 t^{2}}{t^{2} + 150}$
17935	Find the Derivative - d/dt	s(t)=1296-16t^2	$s (t) = 1296 - 16 t^{2}$
17936	Find the Derivative - d/dt	s(t)=-26t^2+73t+70	$s (t) = - 26 t^{2} + 73 t + 70$
17937	Find the Derivative - d/dt	s(t)=t^2+2t	$s (t) = t^{2} + 2 t$
17938	Find the Derivative - d/dt	s(t)=3t^4+12t^3-30t^2	$s (t) = 3 t^{4} + 12 t^{3} - 30 t^{2}$
17939	Find the Derivative - d/dt	s(t)=4t^2+4t	$s (t) = 4 t^{2} + 4 t$
17940	Find the Derivative - d/dt	s(t)=41(8t^3-9)^(6/5)	$s (t) = 41 {(8 t^{3} - 9)}^{\frac{6}{5}}$
17941	Find the Derivative - d/dt	s(t)=6+100t-16t^2	$s (t) = 6 + 100 t - 16 t^{2}$
17942	Find the Derivative - d/dx	eighth root of 8x^7-10	$\sqrt[8]{8 x^{7} - 10}$
17943	Find the Derivative - d/dx	-(x^2+8x+12)	$- (x^{2} + 8 x + 12)$
17944	Find the Derivative - d/dx	(x^2+3x-9)e^x	$(x^{2} + 3 x - 9) e^{x}$
17945	Find the Derivative - d/dx	(x^2-3)e^x	$(x^{2} - 3) e^{x}$
17946	Find the Derivative - d/dx	x^2- natural log of 3x	$x^{2} - \ln (3 x)$
17947	Find the Derivative - d/dx	(x^2-8x+8)e^((9x)/8)	$(x^{2} - 8 x + 8) e^{\frac{9 x}{8}}$
17948	Find the Derivative - d/dx	x^3-2x+5	$x^{3} - 2 x + 5$
17949	Find the Derivative - d/dx	(1+sec(x))sin(x)	$(1 + \sec (x)) \sin (x)$
17950	Find the Derivative - d/dx	(10x^2-20x+20)e^(-7x)	$(10 x^{2} - 20 x + 20) e^{- 7 x}$
17951	Find the Derivative - d/dx	(x^3-1)/(2x^3+1)	$\frac{x^{3} - 1}{2 x^{3} + 1}$
17952	Find the Derivative - d/dw	y=9/(7w^5)+9 fourth root of w	$y = \frac{9}{7 w^{5}} + 9 \sqrt[4]{w}$
17953	Find the Derivative - d/dw	h(w)=8/((w^3+4)^5)	$h (w) = \frac{8}{{(w^{3} + 4)}^{5}}$
17954	Find the Derivative - d/dx	((x^3)/9)(3 natural log of x-1)	$(\frac{x^{3}}{9}) (3 \ln (x) - 1)$
17955	Find the Derivative - d/dx	(1/3)x^6	$(\frac{1}{3}) x^{6}$
17956	Find the Derivative - d/dx	(1/(x-2))(3/(x^2+2))	$(\frac{1}{x - 2}) (\frac{3}{x^{2} + 2})$
17957	Find the Derivative - d/dx	(3/x+x)(3/x-x)	$(\frac{3}{x} + x) (\frac{3}{x} - x)$
17958	Find the Derivative - d/dx	(50/( square root of x))x	$(\frac{50}{\sqrt{x}}) x$
17959	Find the Derivative - d/dx	(50x)/(0.01x^2+1)	$\frac{50 x}{0.01 x^{2} + 1}$
17960	Find the Derivative - d/dx	(arctan(2x))^2	${(\arctan (2 x))}^{2}$
17961	Find the Derivative - d/dx	(arctan(6x))^2	${(\arctan (6 x))}^{2}$
17962	Find the Derivative - d/dx	tan(3x)^2-tan(3x)^2	$\tan^{2} (3 x) - \tan^{2} (3 x)$
17963	Find the Derivative - d/dx	(x^2)(e^(-x))	$(x^{2}) (e^{- x})$
17964	Find the Derivative - d/dx	x/9-9/x	$\frac{x}{9} - \frac{9}{x}$
17965	Find the Derivative - d/dx	(5x^2+3)(3x-2)	$(5 x^{2} + 3) (3 x - 2)$
17966	Find the Derivative - d/dx	(4x+1)(1-x)^3	$(4 x + 1) {(1 - x)}^{3}$
17967	Find the Derivative - d/dx	(3x^3+1)(-4x^2-3)^4	$(3 x^{3} + 1) {(- 4 x^{2} - 3)}^{4}$
17968	Find the Derivative - d/dx	(30-2x)(14-2x)(x)	$(30 - 2 x) (14 - 2 x) (x)$
17969	Find the Derivative - d/dx	3x^2sec(x)+sin(x)	$3 x^{2} \sec (x) + \sin (x)$
17970	Find the Derivative - d/dx	3x	$3 x$
17971	Find the Derivative - d/dx	(3x+1)(5x^2-6x+3)	$(3 x + 1) (5 x^{2} - 6 x + 3)$
17972	Find the Derivative - d/dx	(3x-3)(5x^3-x^2+1)	$(3 x - 3) (5 x^{3} - x^{2} + 1)$
17973	Find the Derivative - d/dx	(3x^2-3x+7)cos(x)	$(3 x^{2} - 3 x + 7) \cos (x)$
17974	Find the Derivative - d/dx	(2+3x)(5-2x)	$(2 + 3 x) (5 - 2 x)$
17975	Find the Derivative - d/dx	(2x+1)e^x	$(2 x + 1) e^{x}$
17976	Find the Derivative - d/dx	(3x^2+7)(x^2-2x+3)	$(3 x^{2} + 7) (x^{2} - 2 x + 3)$
17977	Find the Derivative - d/dx	(3x^2)(x^(1/2))	$(3 x^{2}) (x^{\frac{1}{2}})$
17978	Find the Derivative - d/dx	2x+3	$2 x + 3$
17979	Find the Derivative - d/dx	(2x-27)(x^2+60)	$(2 x - 27) (x^{2} + 60)$
17980	Find the Derivative - d/dx	(2 square root of x+4)((5-x)/(x^2+3x))	$(2 \sqrt{x} + 4) (\frac{5 - x}{x^{2} + 3 x})$
17981	Find the Derivative - d/dx	(2+5x)(5-4x)	$(2 + 5 x) (5 - 4 x)$
17982	Find the Derivative - d/dx	2400+40x-0.2x^2	$2400 + 40 x - 0.2 x^{2}$
17983	Find the Derivative - d/dx	(8-2x)(3-2x)x	$(8 - 2 x) (3 - 2 x) x$
17984	Find the Derivative - d/dx	(sin(x))(cos(x))	$(\sin (x)) (\cos (x))$
17985	Find the Derivative - d/dx	(x+6)(4x-3)	$(x + 6) (4 x - 3)$
17986	Find the Derivative - d/dx	(5x^2-10x+10)e^x	$(5 x^{2} - 10 x + 10) e^{x}$
17987	Find the Derivative - d/dx	5-7x-2x^2	$5 - 7 x - 2 x^{2}$
17988	Find the Derivative - d/dx	(5x^4-x+2)(-x^5+9)	$(5 x^{4} - x + 2) (- x^{5} + 9)$
17989	Find the Derivative - d/dx	8x^3*(20x)+7	$8 x^{3} \cdot (20 x) + 7$
17990	Find the Derivative - d/dx	(9x^2-18x+18)e^x	$(9 x^{2} - 18 x + 18) e^{x}$
17991	Find the Derivative - d/dx	(2x^3+7)^6(2x+1)^8	${(2 x^{3} + 7)}^{6} {(2 x + 1)}^{8}$
17992	Find the Derivative - d/dx	(2x^6+3)^4	${(2 x^{6} + 3)}^{4}$
17993	Find the Derivative - d/dx	(16-x^2)^(1/2)	${(16 - x^{2})}^{\frac{1}{2}}$
17994	Find the Derivative - d/dx	(1-x)^(1/3)	${(1 - x)}^{\frac{1}{3}}$
17995	Find the Derivative - d/dx	(1-cos(x))^2	${(1 - \cos (x))}^{2}$
17996	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-6x^2+9x	$f (x) = x^{3} - 6 x^{2} + 9 x$
17997	Find the Derivative - d/dx	(1-6x)/(e^(3x))	$\frac{1 - 6 x}{e^{3 x}}$
17998	Find the Derivative - d/dx	(1-2x^3)^2010	${(1 - 2 x^{3})}^{2010}$
17999	Find the Derivative - d/dx	(10x-1)^(1/2)	${(10 x - 1)}^{\frac{1}{2}}$
18000	Find the Derivative - d/dx	(1-3x)/(3x)	$\frac{1 - 3 x}{3 x}$