Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
66901	Find the Center and Radius	(x-h)^2+(y-k)^2=r^2	${(x - h)}^{2} + {(y - k)}^{2} = r^{2}$
66902	Find the Derivative - d/dx	(d^2)/(dx^2)(sin(x)+cos(x))	$\frac{d^{2}}{d x^{2}} (\sin (x) + \cos (x))$
66903	Integrate By Parts	integral of xe^(3x) with respect to x	$\int x e^{3 x} d x$
66904	Find dy/dx	y=e^x	$y = e^{x}$
66905	Find the Slope	-3	$- 3$
66906	Find dy/dx	x^4+y^4=82	$x^{4} + y^{4} = 82$
66907	Find the Derivative - d/dx	integral from -2 to 2 of (x^3cos(x/2)+1/2) square root of 4-x^2 with respect to x	$\int_{- 2}^{2} (x^{3} \cos (\frac{x}{2}) + \frac{1}{2}) \sqrt{4 - x^{2}} d x$
66908	Find dy/dx	x^2+4y^2=4	$x^{2} + 4 y^{2} = 4$
66909	Find the Antiderivative	a	$a$
66910	Find dy/dx	x^2y+xy^2=6	$x^{2} y + x y^{2} = 6$
66911	Evaluate the Integral	integral from -1 to 0 of (t^(1/3)-t^(2/3)) with respect to t	$\int_{- 1}^{0} (t^{\frac{1}{3}} - t^{\frac{2}{3}}) d t$
66912	Find the Slope	-1/2	$- \frac{1}{2}$
66913	Find dy/dx	y=2^x	$y = 2^{x}$
66914	Find dy/dx	y=3^x	$y = 3^{x}$
66915	Find dy/dx	x+2xy-y^2=2	$x + 2 x y - y^{2} = 2$
66916	Integrate By Parts	integral of x natural log of x with respect to x	$\int x \ln (x) d x$
66917	Find dy/dx	y=xe^x	$y = x e^{x}$
66918	Find the Derivative - d/dθ	sin(2theta)	$\sin (2 θ)$
66919	Find dy/dx	(x^2)/(x+y)=y^2+1	$\frac{x^{2}}{x + y} = y^{2} + 1$
66920	Find dy/dx	x^3y^3-y=x	$x^{3} y^{3} - y = x$
66921	Find the Tangent Line at (1,0)	y=(x^2-1)/(x^2+x+1) , (1,0)	$y = \frac{x^{2} - 1}{x^{2} + x + 1}$ , $(1, 0)$
66922	Use Logarithmic Differentiation to Find the Derivative	y=x^x	$y = x^{x}$
66923	Find dy/dx	x=sin(y)	$x = \sin (y)$
66924	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of ( natural log of 3x)/( square root of 3x)	$lim_{x \to \infty} \frac{\ln (3 x)}{\sqrt{3 x}}$
66925	Find the Slope	y-3x+2	$y - 3 x + 2$
66926	Find dy/dx	x^2y+y^2x=-2	$x^{2} y + y^{2} x = - 2$
66927	Find the Turning Points	y=5x^6-3x^4+2x-9	$y = 5 x^{6} - 3 x^{4} + 2 x - 9$
66928	Find the Derivative - d/dθ	csc(theta)	$\csc (θ)$
66929	Find dy/dx	x^2-10xy+y^2=10	$x^{2} - 10 x y + y^{2} = 10$
66930	Evaluate the Limit	limit as x approaches 0 from the right of x^x	$lim_{x \to 0^{+}} x^{x}$
66931	Find dy/dx	x^2-14xy+y^2=14	$x^{2} - 14 x y + y^{2} = 14$
66932	Find dy/dx	x=tan(y)	$x = \tan (y)$
66933	Find the Maximum/Minimum Value	f(x)=x^3	$f (x) = x^{3}$
66934	Integrate By Parts	integral of xe^(-x) with respect to x	$\int x e^{- x} d x$
66935	Find the Derivative of the Integral	integral from -2 to 2 of (x^3cos(x/2)+1/2) square root of 4-x^2 with respect to x	$\int_{- 2}^{2} (x^{3} \cos (\frac{x}{2}) + \frac{1}{2}) \sqrt{4 - x^{2}} d x$
66936	Find the Derivative - d/dx	(f(x))/(g(x))	$\frac{f (x)}{g (x)}$
66937	Find dy/dx	y=1/(x^2)	$y = \frac{1}{x^{2}}$
66938	Find the Derivative - d/dX	X^-5	$X^{- 5}$
66939	Find dV/dr	V=4/3pir^3	$V = \frac{4}{3} π r^{3}$
66940	Find the Derivative - d/dx	d/(dx)1/x	$\frac{d}{d x} \cdot \frac{1}{x}$
66941	Find Where Increasing/Decreasing	f(x)=x^2e^(-x)	$f (x) = x^{2} e^{- x}$
66942	Find the Derivative - d/dx	limit as h approaches 0 of (f(x+h)-f(x))/h	$lim_{h \to 0} \frac{f (x + h) - f (x)}{h}$
66943	Evaluate the Integral	integral of 2/2 with respect to t	$\int \frac{2}{2} d t$
66944	Evaluate the Limit	limit as x approaches infinity of 1/2e^x	$lim_{x \to \infty} \frac{1}{2} e^{x}$
66945	Find dx/dy	x^2+y^2=4	$x^{2} + y^{2} = 4$
66946	Find dy/dx	y=e^(2x)	$y = e^{2 x}$
66947	Find the Tangent Line at (1,1)	square root of x , (1,1)	$\sqrt{x}$ , $(1, 1)$
66948	Find dy/dx	x=sec(1/y)	$x = \sec (\frac{1}{y})$
66949	Find the Derivative - d/dx	v=( square root of x+1/( cube root of x))^2	$v = {(\sqrt{x} + \frac{1}{\sqrt[3]{x}})}^{2}$
66950	Find dy/dx	x^2+xy+y^2=3	$x^{2} + x y + y^{2} = 3$
66951	Find the Derivative - d/dθ	cos(2theta)	$\cos (2 θ)$
66952	Find the Derivative - d/dx	y=x^2 square root of 16-x^2	$y = x^{2} \sqrt{16 - x^{2}}$
66953	Find dy/dx	x^4(x+y)=y^2(3x-y)	$x^{4} (x + y) = y^{2} (3 x - y)$
66954	Find the Derivative - d/dx	f(2)	$f (2)$
66955	Evaluate the Integral	integral from 0 to pi/6 of (sin(t))/(cos(t)^2) with respect to t	$\int_{0}^{\frac{π}{6}} \frac{\sin (t)}{\cos^{2} (t)} d t$
66956	Evaluate the Limit	limit as x approaches infinity of (6x^5-12x^2+14x)/(3x^5+13x^3)	$lim_{x \to \infty} \frac{6 x^{5} - 12 x^{2} + 14 x}{3 x^{5} + 13 x^{3}}$
66957	Find the Derivative - d/dx	d/(dx)(1/x)	$\frac{d}{d x} (\frac{1}{x})$
66958	Find dx/dy	x^y=y^x	$x^{y} = y^{x}$
66959	Find the Derivative - d/dx	square root of x^2+y^2+z^2	$\sqrt{x^{2} + y^{2} + z^{2}}$
66960	Find dy/dx	x^3+y^3-6xy=0	$x^{3} + y^{3} - 6 x y = 0$
66961	Find dy/dx	xy=1	$x y = 1$
66962	Find dy/dx	xy+x=2	$x y + x = 2$
66963	Evaluate the Integral	integral of (x^2+x+1) with respect to x	$\int (x^{2} + x + 1) d x$
66964	Find dy/dx	y=xsin(x)	$y = x \sin (x)$
66965	Find the Derivative - d/dθ	cot(sin(theta))^2	$\cot^{2} (\sin (θ))$
66966	Find the Derivative - d/dθ	sec(theta)tan(theta)	$\sec (θ) \tan (θ)$
66967	Find the Derivative - d/dθ	sec(theta)^2	$\sec^{2} (θ)$
66968	Find dy/dx	xy+y^2=2	$x y + y^{2} = 2$
66969	Find dx/dy	xe^y=x-y	$x e^{y} = x - y$
66970	Evaluate the Integral	integral of ( square root of x+1/(2 square root of x)) with respect to x	$\int (\sqrt{x} + \frac{1}{2 \sqrt{x}}) d x$
66971	Find the Maximum/Minimum Value	P(x)=1/9x^4-4/9x^3	$P (x) = \frac{1}{9} x^{4} - \frac{4}{9} x^{3}$
66972	Find dy/dx	x^3+y^3=18xy	$x^{3} + y^{3} = 18 x y$
66973	Evaluate the Integral	integral of (x^(3/2)+2x+1) with respect to x	$\int (x^{\frac{3}{2}} + 2 x + 1) d x$
66974	Integrate Using Trig Substitution	integral of (x^2)/( square root of 9-x^2) with respect to x	$\int \frac{x^{2}}{\sqrt{9 - x^{2}}} d x$
66975	Find dy/dx	xy=4	$x y = 4$
66976	Find dy/dx	y=x^2sin(x)	$y = x^{2} \sin (x)$
66977	Find the Derivative - d/dy	e^yy^e	$e^{y} y^{e}$
66978	Evaluate the Limit	limit as x approaches infinity of (6x^5-12x^2+14x)/(2x^4+13x^3)	$lim_{x \to \infty} \frac{6 x^{5} - 12 x^{2} + 14 x}{2 x^{4} + 13 x^{3}}$
66979	Evaluate the Integral	1/2 integral of 4^x with respect to x	$\frac{1}{2} \int 4^{x} d x$
66980	Find the Domain and Range	f(x)=-2x+3 if x<1; 2x-1 if x>=1	$f (x) = {\begin{cases} - 2 x + 3 & x < 1 \\ 2 x - 1 & x \geq 1 \end{cases}$
66981	Evaluate the Integral	integral from 0 to 1 of (e^x)/(1+e^(2x)) with respect to x	$\int_{0}^{1} \frac{e^{x}}{1 + e^{2 x}} d x$
66982	Evaluate the Limit	limit as x approaches 3 of (x^2+x+1)/(2x)	$lim_{x \to 3} \frac{x^{2} + x + 1}{2 x}$
66983	Find dy/dx	y=sin(x)^2	$y = \sin^{2} (x)$
66984	Find the Derivative - d/dx	y=Ax^2+Bx+C	$y = A x^{2} + B x + C$
66985	Find dy/dx	e^xcos(y)=x+y	$e^{x} \cos (y) = x + y$
66986	Find dy/dx	y=tan(x)	$y = \tan (x)$
66987	Find dy/dx	square root of x+ square root of y=1	$\sqrt{x} + \sqrt{y} = 1$
66988	Find the Center and Radius	(x^2)/25+(y^2)/16=1	$\frac{x^{2}}{25} + \frac{y^{2}}{16} = 1$
66989	Evaluate the Limit	limit as x approaches negative infinity of ( square root of 16x^4-8x^2)/(x^2-2)	$lim_{x \to - \infty} \frac{\sqrt{16 x^{4} - 8 x^{2}}}{x^{2} - 2}$
66990	Find the Domain and Range	f(x)=-3x+4 if x<1; 2x-1 if x>=1	$f (x) = {\begin{cases} - 3 x + 4 & x < 1 \\ 2 x - 1 & x \geq 1 \end{cases}$
66991	Find dy/dx	x^2+xy-y^2=4	$x^{2} + x y - y^{2} = 4$
66992	Evaluate Using L'Hospital's Rule	limit as x approaches 0 from the right of (1+x)^(cot(x))	$lim_{x \to 0^{+}} {(1 + x)}^{\cot (x)}$
66993	Find the Derivative - d/dx	square root of xcos(x)	$\sqrt{x} \cos (x)$
66994	Integrate Using Trig Substitution	integral of 1/(x^2 square root of 4-x^2) with respect to x	$\int \frac{1}{x^{2} \sqrt{4 - x^{2}}} d x$
66995	Find the Antiderivative	sin(x)cos(x)	$\sin (x) \cos (x)$
66996	Find dy/dx	y=1/( square root of x)	$y = \frac{1}{\sqrt{x}}$
66997	Find dy/dx	3x^2+2xy+y^2=1	$3 x^{2} + 2 x y + y^{2} = 1$
66998	Find the Derivative - d/dx	y=x^2 square root of 49-x^2	$y = x^{2} \sqrt{49 - x^{2}}$
66999	Evaluate the Integral	integral of tan(x)^3sec(x)^6 with respect to x	$\int \tan^{3} (x) \sec^{6} (x) d x$
67000	Find dy/dx	tan(xy)=x	$\tan (x y) = x$