Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
55401	Find the Derivative Using Product Rule - d/dx	y=(5x^2+4)(2x-5)	$y = (5 x^{2} + 4) (2 x - 5)$
55402	Find the Derivative Using Product Rule - d/dx	y=(4-x^2)(x^3-5x+1)	$y = (4 - x^{2}) (x^{3} - 5 x + 1)$
55403	Find the Derivative Using Product Rule - d/dx	y=(1/(y^2)-3/(y^4))(y+5y^3)	$y = (\frac{1}{y^{2}} - \frac{3}{y^{4}}) (y + 5 y^{3})$
55404	Find the Derivative Using Product Rule - d/dx	y=x^7*x^6	$y = x^{7} \cdot x^{6}$
55405	Find the Derivative Using Product Rule - d/dx	d/(dx)x^0.9	$\frac{d}{d x} x^{0.9}$
55406	Find the Derivative Using Product Rule - d/dx	(e^x)/(x^n)	$\frac{e^{x}}{x^{n}}$
55407	Find the Derivative Using Product Rule - d/dx	y=(y^-1+y^-2)(7y^-3-10y^-4)	$y = (y^{- 1} + y^{- 2}) (7 y^{- 3} - 10 y^{- 4})$
55408	Find the Derivative Using Product Rule - d/dx	d/(dx)(x^2y^3)	$\frac{d}{d x} (x^{2} y^{3})$
55409	Find the Derivative Using Product Rule - d/dx	y=(4x-3)^2(4-x^5)^4	$y = {(4 x - 3)}^{2} {(4 - x^{5})}^{4}$
55410	Find the Derivative Using Product Rule - d/dx	y=(4x^2+5)(4x-5)	$y = (4 x^{2} + 5) (4 x - 5)$
55411	Find the Derivative Using Product Rule - d/dd	d/(dx)((5x)/(1+2x^2))	$\frac{d}{d x} (\frac{5 x}{1 + 2 x^{2}})$
55412	Find the Derivative Using Product Rule - d/dt	d/(dt)(t^2+1)(t+9)	$\frac{d}{d t} (t^{2} + 1) (t + 9)$
55413	Find the Derivative Using Product Rule - d/dy	z=xy^3+x^3y^2	$z = x y^{3} + x^{3} y^{2}$
55414	Find the Derivative Using Product Rule - d/dy	(y^-1+y^-2)(3y^-3-5y^-4)	$(y^{- 1} + y^{- 2}) (3 y^{- 3} - 5 y^{- 4})$
55415	Find the Derivative Using Product Rule - d/dd	d/(dx)x^0.9	$\frac{d}{d x} x^{0.9}$
55416	Find the Derivative Using Product Rule - d/dd	d/(dx)(e^x*e^x)	$\frac{d}{d x} (e^{x} \cdot e^{x})$
55417	Find the Derivative Using Product Rule - d/dz	(4-z^2)(z^3-4z+2)	$(4 - z^{2}) (z^{3} - 4 z + 2)$
55418	Find the Derivative Using Product Rule - d/dz	(7-z^2)(z^3-4z+5)	$(7 - z^{2}) (z^{3} - 4 z + 5)$
55419	Find the Derivative Using Product Rule - d/dd	d/(dt)(((3t-10)^9)/(t+3))	$\frac{d}{d t} (\frac{{(3 t - 10)}^{9}}{t + 3})$
55420	Find the Derivative Using Product Rule - d/dz	(3-z^2)(z^3-5z+2)	$(3 - z^{2}) (z^{3} - 5 z + 2)$
55421	Evaluate the Function	f(3)=-2x-5	$f (3) = - 2 x - 5$
55422	Evaluate the Function	f(0)=x^2-6x-5	$f (0) = x^{2} - 6 x - 5$
55423	Evaluate the Function	f(x)=10^2sin(1/(5(10^2)))	$f (x) = 10^{2} \sin (\frac{1}{5 (10^{2})})$
55424	Evaluate the Function	f(4)=t^3-9t^2+24t	$f (4) = t^{3} - 9 t^{2} + 24 t$
55425	Evaluate the Function	f(-2)=12/x	$f (- 2) = \frac{12}{x}$
55426	Evaluate the Function	f(-64)=16-x^(2/3)	$f (- 64) = 16 - x^{\frac{2}{3}}$
55427	Evaluate the Function	f(pi/2)=3cos(x)	$f (\frac{π}{2}) = 3 \cos (x)$
55428	Evaluate the Function	sum from n-1 to 15 of 2n-1	$\sum_{n - 1}^{15} 2 n - 1$
55429	Evaluate the Function	f(1)=2x-x^2	$f (1) = 2 x - x^{2}$
55430	Evaluate the Function	g(7)=t^2+9t-3	$g (7) = t^{2} + 9 t - 3$
55431	Evaluate the Function	f(-2.5)=1/(x^2-4)	$f (- 2.5) = \frac{1}{x^{2} - 4}$
55432	Evaluate the Function	s(t)=95-80e^(-0.3t) ; t=1	$s (t) = 95 - 80 e^{- 0.3 t}$ ; $t = 1$
55433	Evaluate the Function	f(0.999)=x^2-8x-1	$f (0.999) = x^{2} - 8 x - 1$
55434	Evaluate the Function	f(x+1)=3.14x^2	$f (x + 1) = 3.14 x^{2}$
55435	Evaluate the Function	f(x)=1/((-1.999)^2-4)	$f (x) = \frac{1}{{(- 1.999)}^{2} - 4}$
55436	Evaluate the Function	f(0)=e^xg(x)	$f (0) = e^{x} g (x)$
55437	Evaluate the Function	f(16)=4 square root of x-2x	$f (16) = 4 \sqrt{x} - 2 x$
55438	Evaluate the Function	f(3)=5/6t^3-4/9t^4+25e^(-t)+45t+4	$f (3) = \frac{5}{6} t^{3} - \frac{4}{9} t^{4} + 25 e^{- t} + 45 t + 4$
55439	Evaluate the Function	f(2)=(5x-7)^2	$f (2) = {(5 x - 7)}^{2}$
55440	Evaluate the Function	f(-5)=x^3-12x	$f (- 5) = x^{3} - 12 x$
55441	Evaluate the Function	f(10^1)=(17x)/( square root of 25x^2-2)	$f (10^{1}) = \frac{17 x}{\sqrt{25 x^{2} - 2}}$
55442	Evaluate the Function	f(4)=8x-x^2	$f (4) = 8 x - x^{2}$
55443	Evaluate the Function	f(12)=x^2-18x+72	$f (12) = x^{2} - 18 x + 72$
55444	Evaluate the Function	f(1)=5/3x-13/3	$f (1) = \frac{5}{3} x - \frac{13}{3}$
55445	Evaluate the Function	f(0)=2x^2-5x+3	$f (0) = 2 x^{2} - 5 x + 3$
55446	Evaluate the Function	f(pi/3)=4tan(x)	$f (\frac{π}{3}) = 4 \tan (x)$
55447	Evaluate the Function	f(1.0375)=9.34-21.97x+16.3x^2-3.704x^3	$f (1.0375) = 9.34 - 21.97 x + 16.3 x^{2} - 3.704 x^{3}$
55448	Evaluate the Function	f(t)=30t+5 ; t=1	$f (t) = 30 t + 5$ ; $t = 1$
55449	Evaluate the Function	P(X)=22.45	$P (X) = 22.45$
55450	Evaluate the Function	f(0.5)=19/(x+1)	$f (0.5) = \frac{19}{x + 1}$
55451	Evaluate the Function	f(0)=ax^2+bx+c	$f (0) = a x^{2} + b x + c$
55452	Evaluate the Function	f(2)=-x^2+9x-2	$f (2) = - x^{2} + 9 x - 2$
55453	Evaluate the Function	f(0)=x^2sin(1/0)	$f (0) = x^{2} \sin (\frac{1}{0})$
55454	Evaluate the Function	f(10)=2x^2-3	$f (10) = 2 x^{2} - 3$
55455	Evaluate the Function	f(pi/2)=sin(x/2)	$f (\frac{π}{2}) = \sin (\frac{x}{2})$
55456	Evaluate the Function	P(t)=5t^3-2t^2+25t+100 , t=6	$P (t) = 5 t^{3} - 2 t^{2} + 25 t + 100$ , $t = 6$
55457	Evaluate the Function	f(x)=(x^2-49)/(x-7) , f'(-8)	$f (x) = \frac{x^{2} - 49}{x - 7}$ , $f' (- 8)$
55458	Evaluate the Function	f(4)=0.7(x)^2-(x)-4	$f (4) = 0.7 {(x)}^{2} - (x) - 4$
55459	Evaluate the Function	f(0)=3x^3-4x+5	$f (0) = 3 x^{3} - 4 x + 5$
55460	Evaluate the Function	f(0)=(b-b^2)/(1+b^2)	$f (0) = \frac{(b - b^{2})}{(1 + b^{2})}$
55461	Evaluate the Function	f(1)=3x^4-20x^3+42x^2-36x	$f (1) = 3 x^{4} - 20 x^{3} + 42 x^{2} - 36 x$
55462	Evaluate the Function	f(2)=5x^3	$f (2) = 5 x^{3}$
55463	Evaluate the Function	f(x)=1/((-3.1)^2-9)	$f (x) = \frac{1}{{(- 3.1)}^{2} - 9}$
55464	Evaluate the Function	f(4)=3/256x^2+x^-2	$f (4) = \frac{3}{256} x^{2} + x^{- 2}$
55465	Evaluate the Function	f(5)=(x^2-3x-10)/(x-5)	$f (5) = \frac{x^{2} - 3 x - 10}{x - 5}$
55466	Evaluate the Function	f(x)=4^2	$f (x) = 4^{2}$
55467	Evaluate the Function	f(26)=(x+1)^(1/3)	$f (26) = {(x + 1)}^{\frac{1}{3}}$
55468	Evaluate the Function	g(x)=2x^4 ; (-2,32)	$g (x) = 2 x^{4}$ ; $(- 2, 32)$
55469	Evaluate the Function	f(1)=-8x^2-144x-648+k	$f (1) = - 8 x^{2} - 144 x - 648 + k$
55470	Evaluate the Function	f(1)=(x^2-1)^3	$f (1) = {(x^{2} - 1)}^{3}$
55471	Evaluate the Function	f(-4)=4x^3-6x^2-144x+9	$f (- 4) = 4 x^{3} - 6 x^{2} - 144 x + 9$
55472	Evaluate the Function	f(1/2)=3/((2t+8)^(5/2))	$f (\frac{1}{2}) = \frac{3}{{(2 t + 8)}^{\frac{5}{2}}}$
55473	Evaluate the Function	f(x)=(6.9^2-49)/(6.9-7)	$f (x) = \frac{{6.9}^{2} - 49}{6.9 - 7}$
55474	Evaluate the Function	f(x)=240+85x ; x=7	$f (x) = 240 + 85 x$ ; $x = 7$
55475	Evaluate the Function	(dy)/(dx)=2xy	$\frac{d y}{d x} = 2 x y$
55476	Evaluate the Function	c(x)=15000+60x+1000/x ; x=100	$c (x) = 15000 + 60 x + \frac{1000}{x}$ ; $x = 100$
55477	Evaluate the Function	D(7)=-3p^2+7P+3	$D (7) = - 3 p^{2} + 7 P + 3$
55478	Evaluate the Function	f(pi)=sin(4x)	$f (π) = \sin (4 x)$
55479	Evaluate the Function	f(1/2) = square root of 2t+8	$f (\frac{1}{2}) = \sqrt{2 t + 8}$
55480	Evaluate the Function	f(10) = square root of x-4	$f (10) = \sqrt{x - 4}$
55481	Evaluate the Function	f(4.1)=2-(0.01/4)	$f (4.1) = 2 - (\frac{0.01}{4})$
55482	Evaluate the Function	f(x)=1/((-3.5)^2-9)	$f (x) = \frac{1}{{(- 3.5)}^{2} - 9}$
55483	Evaluate the Function	f(3.5)=3x^4-20x^3+42x^2-36x	$f (3.5) = 3 x^{4} - 20 x^{3} + 42 x^{2} - 36 x$
55484	Evaluate the Function	f(x)=x^2-2x+8 , [2,6] , f(c)=11	$f (x) = x^{2} - 2 x + 8$ , $[2, 6]$ , $f (c) = 11$
55485	Evaluate the Function	f(2)=3x^2+2x-3	$f (2) = 3 x^{2} + 2 x - 3$
55486	Evaluate the Function	f(x) = square root of 3x , x=3	$f (x) = \sqrt{3 x}$ , $x = 3$
55487	Evaluate the Function	f(x)=144 , 72 , 36	$f (x) = 144$ , $72$ , $36$
55488	Evaluate the Function	f(2)=32/((x+4)^3)	$f (2) = \frac{32}{{(x + 4)}^{3}}$
55489	Evaluate the Function	f(8)=5x^2	$f (8) = 5 x^{2}$
55490	Evaluate the Function	f(8)=x^(2/3)	$f (8) = x^{\frac{2}{3}}$
55491	Evaluate the Function	f(1)=5x+6	$f (1) = 5 x + 6$
55492	Evaluate the Function	f(2)=(x-3)/(x^2-9)	$f (2) = \frac{x - 3}{x^{2} - 9}$
55493	Evaluate the Function	h(3a)=x^4+7x^2+9	$h (3 a) = x^{4} + 7 x^{2} + 9$
55494	Evaluate the Function	f(1)=2x^3-5x^2-15x+11	$f (1) = 2 x^{3} - 5 x^{2} - 15 x + 11$
55495	Evaluate the Function	f(( square root of 6)/3)=1/2x^4-2x^2	$f (\frac{\sqrt{6}}{3}) = \frac{1}{2} x^{4} - 2 x^{2}$
55496	Evaluate the Function	f(0)=1/( square root of 2pi)e^(-(1/2)x^2)	$f (0) = \frac{1}{\sqrt{2 π}} e^{- (\frac{1}{2}) x^{2}}$
55497	Evaluate the Function	f(0)=1/(x^2-9)	$f (0) = \frac{1}{x^{2} - 9}$
55498	Evaluate the Function	f(8)=t^3-15t^2+72t	$f (8) = t^{3} - 15 t^{2} + 72 t$
55499	Evaluate the Function	f(- square root of 5)=-3x^4+30x^2-27	$f (- \sqrt{5}) = - 3 x^{4} + 30 x^{2} - 27$
55500	Evaluate the Function	k(x)=6x+100	$k (x) = 6 x + 100$