Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
15101	Find dp/dr	p=(144r)/((r+0.6)^2)	$p = \frac{144 r}{{(r + 0.6)}^{2}}$
15102	Find dq/dp	p^2+2p+q=16	$p^{2} + 2 p + q = 16$
15103	Find dq/dp	p=500e^(-0.4q)	$p = 500 e^{- 0.4 q}$
15104	Find dq/dx	q=0.2802 natural log of x-2.505	$q = 0.2802 \ln (x) - 2.505$
15105	Find dR/dt	R=5tan(3pit)^2	$R = 5 \tan^{2} (3 π t)$
15106	Find dr/d?	r=((1+sin(x))/(1-cos(x)))^2	$r = {(\frac{1 + \sin (x)}{1 - \cos (x)})}^{2}$
15107	Find dr/dq	q = square root of 15r-r^7	$q = \sqrt{15 r - r^{7}}$
15108	Find dr/dw	r=(6e^w)/(5w)	$r = \frac{6 e^{w}}{5 w}$
15109	Find dq/dr	q = square root of 20r-r^7	$q = \sqrt{20 r - r^{7}}$
15110	Find dq/dt	q=t/(t+2)+3t^2	$q = \frac{t}{t + 2} + 3 t^{2}$
15111	Find dr/dA	A=2000(1+r/12)^60	$A = 2000 {(1 + \frac{r}{12})}^{60}$
15112	Find the Derivative Using Quotient Rule - d/dy	4x+(2y(dy))/(dx)	$4 x + \frac{2 y (d y)}{d x}$
15113	Find the Derivative Using Quotient Rule - d/dy	-(x^2)/(y^2)	$- \frac{x^{2}}{y^{2}}$
15114	Find the Derivative Using Quotient Rule - d/dy	(4y)/(x+2)	$\frac{4 y}{x + 2}$
15115	Find the Derivative Using Quotient Rule - d/dz	(2x)/(z^2-y^2)	$\frac{2 x}{z^{2} - y^{2}}$
15116	Use the given u to Apply the Chain Rule	w=u^3 , u=(t-1)/(t+1)	$w = u^{3}$ , $u = \frac{t - 1}{t + 1}$
15117	Use the given u to Apply the Chain Rule	y=u^2+u-2 , u=1/x	$y = u^{2} + u - 2$ , $u = \frac{1}{x}$
15118	Find the Roots (Zeros)	f(x)=3x^4+8x^3-2x^2-10x+4	$f (x) = 3 x^{4} + 8 x^{3} - 2 x^{2} - 10 x + 4$
15119	Use the given u to Apply the Chain Rule	y=(u+1)/u , u=2x^3	$y = \frac{u + 1}{u}$ , $u = 2 x^{3}$
15120	Find the Roots (Zeros)	e^x=3-2x	$e^{x} = 3 - 2 x$
15121	Find the Derivative Using Quotient Rule - d/dZ	y=pi/2*sin(x)-cos(x)	$y = \frac{π}{2} \cdot \sin (x) - \cos (x)$
15122	Use the given u to Apply the Chain Rule	y=u^(3/2) , u=6x+5	$y = u^{\frac{3}{2}}$ , $u = 6 x + 5$
15123	Find the Roots (Zeros)	f(x)=2x^5+5x^4+49x^3+119x^2-25x-150	$f (x) = 2 x^{5} + 5 x^{4} + 49 x^{3} + 119 x^{2} - 25 x - 150$
15124	Find the Roots (Zeros)	4x^3-100x=0	$4 x^{3} - 100 x = 0$
15125	Find the Roots (Zeros)	x^3-3x+8.1=0	$x^{3} - 3 x + 8.1 = 0$
15126	Find the Roots (Zeros)	2x^3-7x^2+x+10=y	$2 x^{3} - 7 x^{2} + x + 10 = y$
15127	Find the Roots (Zeros)	6x^2+6x=0	$6 x^{2} + 6 x = 0$
15128	Find the Roots (Zeros)	1+ natural log of x=0	$1 + \ln (x) = 0$
15129	Find the Roots (Zeros)	0=-2cos(X)+2cos(2X)	$0 = - 2 \cos (X) + 2 \cos (2 X)$
15130	Find the Roots (Zeros)	2x^2+9x=-7	$2 x^{2} + 9 x = - 7$
15131	Find the Roots (Zeros)	2x^5+7x-1=0	$2 x^{5} + 7 x - 1 = 0$
15132	Find the Roots (Zeros)	\|7/13x-1\|=\|6/13x+4\|f(x)	$\| \frac{7}{13} x - 1 \| = \| \frac{6}{13} x + 4 \| f (x)$
15133	Find the Roots (Zeros)	(3pi)/2	$\frac{3 π}{2}$
15134	Find the Roots (Zeros)	e^(-3x)(3-e^(2x))	$e^{- 3 x} (3 - e^{2 x})$
15135	Find the Roots (Zeros)	x/2=3-17/x	$\frac{x}{2} = 3 - \frac{17}{x}$
15136	Find the Roots (Zeros)	x^2-x-1=0	$x^{2} - x - 1 = 0$
15137	Use the given u to Apply the Chain Rule	y=u^2+1 , u=3x-2	$y = u^{2} + 1$ , $u = 3 x - 2$
15138	Find the Roots (Zeros)	e^x-3x^2=0	$e^{x} - 3 x^{2} = 0$
15139	Find the Roots (Zeros)	x^3-48x-128	$x^{3} - 48 x - 128$
15140	Find the Roots (Zeros)	x^4+2x^2-63=0	$x^{4} + 2 x^{2} - 63 = 0$
15141	Find the Roots (Zeros)	f(x)=(2e^(-2x)+x^2-3)/(x-1)	$f (x) = \frac{2 e^{- 2 x} + x^{2} - 3}{x - 1}$
15142	Find the Roots (Zeros)	f(x)=x^2-x-1	$f (x) = x^{2} - x - 1$
15143	Find the Roots (Zeros)	f(x)=x^4-15x^3+84x^2-208x+192	$f (x) = x^{4} - 15 x^{3} + 84 x^{2} - 208 x + 192$
15144	Find the Roots (Zeros)	f(x)=2x^4+5x^3-5x-2	$f (x) = 2 x^{4} + 5 x^{3} - 5 x - 2$
15145	Find the Roots (Zeros)	f(x)=2x^3-x^2-9x-4	$f (x) = 2 x^{3} - x^{2} - 9 x - 4$
15146	Find the Roots (Zeros)	f(x)=x^3-x^2+25x-25	$f (x) = x^{3} - x^{2} + 25 x - 25$
15147	Find the Roots (Zeros)	f(x)=(9x+5)e^(-6x)	$f (x) = (9 x + 5) e^{- 6 x}$
15148	Find the Roots (Zeros)	f(x)=(x-2)^2-1	$f (x) = {(x - 2)}^{2} - 1$
15149	Find the Roots (Zeros)	f(x)=5x^3-11x^2-12x	$f (x) = 5 x^{3} - 11 x^{2} - 12 x$
15150	Find the Roots (Zeros)	P(x)=x^3+17x^2+21x-9	$P (x) = x^{3} + 17 x^{2} + 21 x - 9$
15151	Find the Roots (Zeros)	p(x)=x^3-9x^2+27x-27	$p (x) = x^{3} - 9 x^{2} + 27 x - 27$
15152	Find the Roots (Zeros)	sin(x)(2)=cos(x)	$\sin (x) (2) = \cos (x)$
15153	Find the x and y Intercepts	y=(x^2+3x-4)/(x+4)	$y = \frac{x^{2} + 3 x - 4}{x + 4}$
15154	Find the x and y Intercepts	y=(x^4+1)/(x^2-16)	$y = \frac{x^{4} + 1}{x^{2} - 16}$
15155	Find the x and y Intercepts	x+y^2-y=1	$x + y^{2} - y = 1$
15156	Find the x and y Intercepts	y=(2x+1)/(x^2+x-6)	$y = \frac{2 x + 1}{x^{2} + x - 6}$
15157	Find the x and y Intercepts	y=e^(x^2)	$y = e^{x^{2}}$
15158	Find the x and y Intercepts	y=9/x	$y = \frac{9}{x}$
15159	Find the x and y Intercepts	y=x^4-8x^2+8	$y = x^{4} - 8 x^{2} + 8$
15160	Find the x and y Intercepts	y=3cos(1/2x)	$y = 3 \cos (\frac{1}{2} x)$
15161	Find the Roots (Zeros)	P=7x^2-14xy+2y^2-84x+114y-7	$P = 7 x^{2} - 14 x y + 2 y^{2} - 84 x + 114 y - 7$
15162	Find the Derivative Using Quotient Rule - d/dx	y=(2x+5)/( square root of x)	$y = \frac{2 x + 5}{\sqrt{x}}$
15163	Find the Roots (Zeros)	y=-5x+e^x	$y = - 5 x + e^{x}$
15164	Find the Roots (Zeros)	y=2x-1-sin(x)	$y = 2 x - 1 - \sin (x)$
15165	Find the x and y Intercepts	4x^2+4y^2-8x-16y-20=0	$4 x^{2} + 4 y^{2} - 8 x - 16 y - 20 = 0$
15166	Find the x and y Intercepts	x^4-4x^3	$x^{4} - 4 x^{3}$
15167	Find the x and y Intercepts	x^4-4x^3+10	$x^{4} - 4 x^{3} + 10$
15168	Find the x and y Intercepts	4x^2+9y^2=36	$4 x^{2} + 9 y^{2} = 36$
15169	Find the x and y Intercepts	3xy-x^2-4=0	$3 x y - x^{2} - 4 = 0$
15170	Find the x and y Intercepts	x^3-3x^2+4	$x^{3} - 3 x^{2} + 4$
15171	Find the x and y Intercepts	x^4+3x^3-4x^2+2x+1	$x^{4} + 3 x^{3} - 4 x^{2} + 2 x + 1$
15172	Find the x and y Intercepts	2x-y+3=0	$2 x - y + 3 = 0$
15173	Find the x and y Intercepts	3x+2y=15	$3 x + 2 y = 15$
15174	Find the x and y Intercepts	3x+8y=-9	$3 x + 8 y = - 9$
15175	Find the x and y Intercepts	2x+4y=6	$2 x + 4 y = 6$
15176	Find the x and y Intercepts	3x^(2/3)-2x	$3 x^{\frac{2}{3}} - 2 x$
15177	Find the x and y Intercepts	x^4-6x^2+5	$x^{4} - 6 x^{2} + 5$
15178	Find the x and y Intercepts	25x^2-750x+10000	$25 x^{2} - 750 x + 10000$
15179	Find the x and y Intercepts	(x^2)/(x-1)	$\frac{x^{2}}{x - 1}$
15180	Find the x and y Intercepts	x^2+xy+y^2=7	$x^{2} + x y + y^{2} = 7$
15181	Find the x and y Intercepts	x^3-3x	$x^{3} - 3 x$
15182	Find the x and y Intercepts	x^3-6x^2+9x+1	$x^{3} - 6 x^{2} + 9 x + 1$
15183	Find the x and y Intercepts	f(x)=(x-9)(x^2-18x-162)	$f (x) = (x - 9) (x^{2} - 18 x - 162)$
15184	Find the x and y Intercepts	f(x)=(x^2-8)/(x+3)	$f (x) = \frac{x^{2} - 8}{x + 3}$
15185	Find the x and y Intercepts	f(x)=(x^2+12)(144-x^2)	$f (x) = (x^{2} + 12) (144 - x^{2})$
15186	Find the x and y Intercepts	f(x)=(x-5)(x^2-10x-50)	$f (x) = (x - 5) (x^{2} - 10 x - 50)$
15187	Find the x and y Intercepts	f(x)=(1-x)e^x	$f (x) = (1 - x) e^{x}$
15188	Find the x and y Intercepts	4y=20x^3-3x^5	$4 y = 20 x^{3} - 3 x^{5}$
15189	Find the x and y Intercepts	f(x)=1/(x-4)	$f (x) = \frac{1}{x - 4}$
15190	Find the x and y Intercepts	f(x)=4/(x-7)	$f (x) = \frac{4}{x - 7}$
15191	Find the x and y Intercepts	f(x)=1/(x-7)	$f (x) = \frac{1}{x - 7}$
15192	Find the x and y Intercepts	f(x)=1/(x^2+2x-8)	$f (x) = \frac{1}{x^{2} + 2 x - 8}$
15193	Find the x and y Intercepts	f(x)=( natural log of x)/x	$f (x) = \frac{\ln (x)}{x}$
15194	Evaluate the Integral	integral of 4e^x with respect to x	$\int 4 e^{x} d x$
15195	Find the x and y Intercepts	f(x)=(7x-1)/x	$f (x) = \frac{7 x - 1}{x}$
15196	Find the x and y Intercepts	f(x) = square root of x+1/( square root of x)	$f (x) = \sqrt{x} + \frac{1}{\sqrt{x}}$
15197	Find the x and y Intercepts	f(x)=(sin(x))/x	$f (x) = \frac{\sin (x)}{x}$
15198	Find the x and y Intercepts	f(x)=x^2e^(-x)	$f (x) = x^{2} e^{- x}$
15199	Find the x and y Intercepts	f(x)=-x^3+12x	$f (x) = - x^{3} + 12 x$
15200	Find the x and y Intercepts	f(x) = natural log of x^2+144	$f (x) = \ln (x^{2} + 144)$