Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
15201	Find the x and y Intercepts	x+4y=48	$x + 4 y = 48$
15202	Find the x and y Intercepts	x+2y=32	$x + 2 y = 32$
15203	Find the x and y Intercepts	x+y=48	$x + y = 48$
15204	Find the x and y Intercepts	y=(x-6)(x+5)(6x-3)	$y = (x - 6) (x + 5) (6 x - 3)$
15205	Find the x and y Intercepts	f(x)=4x^3-24x^2+35x-36	$f (x) = 4 x^{3} - 24 x^{2} + 35 x - 36$
15206	Find the x and y Intercepts	f(x) = natural log of x^2+1	$f (x) = \ln (x^{2} + 1)$
15207	Find the x and y Intercepts	g(x)=x^3-3x	$g (x) = x^{3} - 3 x$
15208	Find the x and y Intercepts	f(x)=3x(x-3)^3	$f (x) = 3 x {(x - 3)}^{3}$
15209	Find the x and y Intercepts	G(x)=3(x+1)e^(-2x)	$G (x) = 3 (x + 1) e^{- 2 x}$
15210	Find the x and y Intercepts	f(x) = natural log of x^2+81	$f (x) = \ln (x^{2} + 81)$
15211	Find the x and y Intercepts	f(x)=5(x-3)^(2/3)	$f (x) = 5 {(x - 3)}^{\frac{2}{3}}$
15212	Find the x and y Intercepts	f(x)=x^3-6x^2-135x	$f (x) = x^{3} - 6 x^{2} - 135 x$
15213	Find the x and y Intercepts	f(x)=(x-1)/(x+1)	$f (x) = \frac{x - 1}{x + 1}$
15214	Find the x and y Intercepts	f(x)=3x^(2/3)-2x	$f (x) = 3 x^{\frac{2}{3}} - 2 x$
15215	Find the x and y Intercepts	f(x)=2x(x-2)^3	$f (x) = 2 x {(x - 2)}^{3}$
15216	Find the x and y Intercepts	f(x)=2x(x-3)^3	$f (x) = 2 x {(x - 3)}^{3}$
15217	Find the x and y Intercepts	f(x)=3x^4-18x^2	$f (x) = 3 x^{4} - 18 x^{2}$
15218	Find the x and y Intercepts	f(x)=4x^4-24x^2	$f (x) = 4 x^{4} - 24 x^{2}$
15219	Find the x and y Intercepts	f(x)=x^3-9x^2+24x-18	$f (x) = x^{3} - 9 x^{2} + 24 x - 18$
15220	Find the x and y Intercepts	f(x)=x^4-6x^2	$f (x) = x^{4} - 6 x^{2}$
15221	Find the x and y Intercepts	f(x)=xe^(-x)	$f (x) = x e^{- x}$
15222	Find the x and y Intercepts	f(x)=2x^3-3x^2-12x+5	$f (x) = 2 x^{3} - 3 x^{2} - 12 x + 5$
15223	Find the Derivative Using Chain Rule - d/d@VAR	f(x)=cos( natural log of 2x+1)	$f (x) = \cos (\ln (2 x + 1))$
15224	Find the Derivative Using Chain Rule - d/dx	y = natural log of x^5	$y = \ln (x^{5})$
15225	Find the Derivative Using Chain Rule - d/dx	y=cos((1-e^(8x))/(1+e^(8x)))	$y = \cos (\frac{1 - e^{8 x}}{1 + e^{8 x}})$
15226	Find the Derivative Using Chain Rule - d/dx	y=cos(tan(x))	$y = \cos (\tan (x))$
15227	Find the Derivative Using Chain Rule - d/dx	y=cot(x)	$y = \cot (x)$
15228	Find the Derivative Using Chain Rule - d/dx	y=arccos((b+arccos(s)(x))/(a+bcos(x)))	$y = \arccos (\frac{b + \arccos (s) (x)}{a + b \cos (x)})$
15229	Find the Derivative Using Chain Rule - d/dx	y=5cos(9x+1)	$y = 5 \cos (9 x + 1)$
15230	Find the Derivative Using Chain Rule - d/dx	y-xsin(xy)	$y - x \sin (x y)$
15231	Find the Derivative Using Chain Rule - d/dx	y = natural log of arctan(6x^5)	$y = \ln (\arctan (6 x^{5}))$
15232	Find the Derivative Using Chain Rule - d/dx	y=sin(2x)	$y = \sin (2 x)$
15233	Evaluate the Integral	integral from 0 to pi/2 of xsin(2x) with respect to x	$\int_{0}^{\frac{π}{2}} x \sin (2 x) d x$
15234	Find the Derivative Using Chain Rule - d/dx	y=sin(x)cot(x)	$y = \sin (x) \cot (x)$
15235	Evaluate the Integral	integral from 0 to 9 of square root of 81-x^2 with respect to x	$\int_{0}^{9} \sqrt{81 - x^{2}} d x$
15236	Find the Derivative Using Chain Rule - d/dZ	e^(sin(x))	$e^{\sin (x)}$
15237	Find the Derivative Using Chain Rule - d/dy	((y+2)/(3-y))^3	${(\frac{y + 2}{3 - y})}^{3}$
15238	Find the Derivative Using Chain Rule - d/dy	square root of x^4+y^2	$\sqrt{x^{4} + y^{2}}$
15239	Find the Derivative Using Chain Rule - d/dy	2(-2y+2)+y+2	$2 (- 2 y + 2) + y + 2$
15240	Find the Derivative Using Chain Rule - d/dz	y=sin(x)^6+cos(x)^6	$y = \sin^{6} (x) + \cos^{6} (x)$
15241	Find the Derivative Using Chain Rule - d/dy	4y^3+ square root of x^2+y^2	$4 y^{3} + \sqrt{x^{2} + y^{2}}$
15242	Find the Derivative Using Chain Rule - d/dz	4 , a , 7 , p	$4$ , $a$ , $7$ , $p$
15243	Find the Derivative Using Product Rule - d/d@VAR	f(x)=(3x-5)(2x^3-x^2+1)	$f (x) = (3 x - 5) (2 x^{3} - x^{2} + 1)$
15244	Find the Derivative Using Chain Rule - d/dx	y=(2x-7)^3	$y = {(2 x - 7)}^{3}$
15245	Find the Derivative Using Chain Rule - d/dx	y=sin(5x)^(8x)	$y = {\sin (5 x)}^{8 x}$
15246	Find the Derivative Using Chain Rule - d/dx	y=1/(x^2-1)	$y = \frac{1}{x^{2} - 1}$
15247	Find the Derivative Using Chain Rule - d/dx	y=x^2sin(8x)	$y = x^{2} \sin (8 x)$
15248	Find the Derivative Using Chain Rule - d/dx	y = square root of sec(x^3)	$y = \sqrt{\sec (x^{3})}$
15249	Find the Derivative Using Chain Rule - d/dx	y=1/((x^2-2x-5)^4)	$y = \frac{1}{{(x^{2} - 2 x - 5)}^{4}}$
15250	Find the Derivative Using Chain Rule - d/dx	xsin(y)	$x \sin (y)$
15251	Find the Derivative Using Chain Rule - d/dx	y = square root of 5-3x	$y = \sqrt{5 - 3 x}$
15252	Find the Derivative Using Chain Rule - d/dx	y=(x^2-3x+1)^5	$y = {(x^{2} - 3 x + 1)}^{5}$
15253	Find the Derivative Using Chain Rule - d/dx	sin(sin(x))	$\sin (\sin (x))$
15254	Find the Derivative Using Chain Rule - d/dx	xtan(y)	$x \tan (y)$
15255	Find the Derivative Using Chain Rule - d/dx	xsin(x)	$x \sin (x)$
15256	Find the Derivative Using Chain Rule - d/dx	f(x)=x(e^(-x^2))	$f (x) = x (e^{- x^{2}})$
15257	Find the Derivative Using Chain Rule - d/dx	f(1/(g(x)))	$f (\frac{1}{g (x)})$
15258	Find the Derivative Using Chain Rule - d/dx	f(x)=-3 fourth root of 2-9x	$f (x) = - 3 \sqrt[4]{2 - 9 x}$
15259	Find the Derivative Using Product Rule - d/du	h(u)=(u- square root of u)(u+ square root of u)	$h (u) = (u - \sqrt{u}) (u + \sqrt{u})$
15260	Find the Derivative Using Product Rule - d/dT	y=sec(x)tan(x)	$y = \sec (x) \tan (x)$
15261	Find the Derivative Using Product Rule - d/dd	d/(dx)*(csc(x))	$\frac{d}{d x} \cdot (\csc (x))$
15262	Find the Derivative Using Product Rule - d/dx	(1/3)*cos(8x)	$(\frac{1}{3}) \cdot \cos (8 x)$
15263	Find the Derivative Using Product Rule - d/dx	0.2/( square root of x)-3.3x^-2+3x	$\frac{0.2}{\sqrt{x}} - 3.3 x^{- 2} + 3 x$
15264	Factor over the Complex Numbers	(d^2)/(dr^2)*(pir^2)	$\frac{d^{2}}{d r^{2}} \cdot (π r^{2})$
15265	Find the Derivative Using Product Rule - d/dx	(5x+1)^5(4x+1)^-2	${(5 x + 1)}^{5} {(4 x + 1)}^{- 2}$
15266	Find the Derivative Using Product Rule - d/dt	f(t)=(1-t^2)(1-3/(t^2))	$f (t) = (1 - t^{2}) (1 - \frac{3}{t^{2}})$
15267	Find the Derivative Using Product Rule - d/dt	P(t)=(0.7t-6)(0.9t+9)+95	$P (t) = (0.7 t - 6) (0.9 t + 9) + 95$
15268	Find the Inflection Points	6x^4+16x^3	$6 x^{4} + 16 x^{3}$
15269	Find the Derivative Using Product Rule - d/d@VAR	g(t)=7t^3cos(t)	$g (t) = 7 t^{3} \cos (t)$
15270	Find the Derivative Using Product Rule - d/d@VAR	h(x)=6x^2(8x+7)^4	$h (x) = 6 x^{2} {(8 x + 7)}^{4}$
15271	Find the Concavity	f(x)=x^3-6x^2+9x	$f (x) = x^{3} - 6 x^{2} + 9 x$
15272	Find the Derivative Using Product Rule - d/d@VAR	f(x)=(1+7x^2)(x-x^2)	$f (x) = (1 + 7 x^{2}) (x - x^{2})$
15273	Find the Derivative Using Product Rule - d/d@VAR	f(x)=3cos(x)^2-6sin(x)	$f (x) = 3 \cos^{2} (x) - 6 \sin (x)$
15274	Find the Derivative Using Product Rule - d/d@VAR	h(x)=7x^2(6x+9)^4	$h (x) = 7 x^{2} {(6 x + 9)}^{4}$
15275	Find the Derivative Using Product Rule - d/dx	f(x)=(4x+2 square root of x-1)(4 square root of x+5)	$f (x) = (4 x + 2 \sqrt{x} - 1) (4 \sqrt{x} + 5)$
15276	Find the Derivative Using Product Rule - d/dx	f(x)=(4x+7)(x^3-2)	$f (x) = (4 x + 7) (x^{3} - 2)$
15277	Find the Derivative Using Product Rule - d/dx	7x^2(6x+3)^4	$7 x^{2} {(6 x + 3)}^{4}$
15278	Find the Derivative Using Product Rule - d/dx	7x^2(6x+8)^4	$7 x^{2} {(6 x + 8)}^{4}$
15279	Find the Derivative Using Product Rule - d/dx	cos(xy)	$\cos (x y)$
15280	Find the Derivative Using Product Rule - d/dx	9 square root of xsin(x)	$9 \sqrt{x} \sin (x)$
15281	Find the Derivative Using Product Rule - d/dx	arcsin(x)	$\arcsin (x)$
15282	Find the Derivative Using Product Rule - d/dx	f(x)=(1/(y^2)-2/(y^4))(y+8y^3)	$f (x) = (\frac{1}{y^{2}} - \frac{2}{y^{4}}) (y + 8 y^{3})$
15283	Find the Derivative Using Product Rule - d/dx	15 root of 7x+5	$\sqrt[15]{7 x + 5}$
15284	Find the Derivative Using Product Rule - d/dx	x^7(x-12)^5	$x^{7} {(x - 12)}^{5}$
15285	Find the Derivative Using Product Rule - d/dx	square root of 5-6x	$\sqrt{5 - 6 x}$
15286	Find the Derivative Using Product Rule - d/dx	(sin(x))/x	$\frac{\sin (x)}{x}$
15287	Find the Derivative Using Product Rule - d/dx	d/(dx)*(3x^10-5x^4-2/7)	$\frac{d}{d x} \cdot (3 x^{10} - 5 x^{4} - \frac{2}{7})$
15288	Find the Derivative Using Product Rule - d/dt	m(t)=-7t(3t^4-1)^8	$m (t) = - 7 t {(3 t^{4} - 1)}^{8}$
15289	Find the Derivative Using Product Rule - d/dx	e^x(x^2+1)(x+4)	$e^{x} (x^{2} + 1) (x + 4)$
15290	Find the Derivative Using Quotient Rule - d/dx	(e^x)/x	$\frac{e^{x}}{x}$
15291	Find the Derivative Using Quotient Rule - d/dx	(1/3x^3)/(3x^2-2)	$\frac{\frac{1}{3} x^{3}}{3 x^{2} - 2}$
15292	Find the Derivative Using Quotient Rule - d/dx	(5x+8)/( square root of x)	$\frac{5 x + 8}{\sqrt{x}}$
15293	Find the Critical Points	f(x)=(x^2)/(x-8)	$f (x) = \frac{x^{2}}{x - 8}$
15294	Find the Derivative Using Quotient Rule - d/dx	( cube root of 4x^3+8)/((x+2)^5)	$\frac{\sqrt[3]{4 x^{3} + 8}}{{(x + 2)}^{5}}$
15295	Find the Derivative Using Quotient Rule - d/du	((2u^3+7)(3u^2-5))/(u^2+1)	$\frac{(2 u^{3} + 7) (3 u^{2} - 5)}{u^{2} + 1}$
15296	Find the Derivative Using Quotient Rule - d/dt	(800t)/(t+2)	$\frac{800 t}{t + 2}$
15297	Find the Derivative Using Quotient Rule - d/dt	(t^2)/(t-11)	$\frac{t^{2}}{t - 11}$
15298	Find the Derivative Using Quotient Rule - d/dw	(w^2+1)/(w^2-w-6)	$\frac{w^{2} + 1}{w^{2} - w - 6}$
15299	Find the Derivative Using Quotient Rule - d/dx	(10x^3+19x^2-5)/(5x+2)	$\frac{10 x^{3} + 19 x^{2} - 5}{5 x + 2}$
15300	Find the Derivative Using Quotient Rule - d/dt	(18t)/(t^2+81)	$\frac{18 t}{t^{2} + 81}$