Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
59301	Find the Asymptotes	x/(x^2+1)	$\frac{x}{x^{2} + 1}$
59302	Find the Inflection Points	f(x) = natural log of x^4+27	$f (x) = \ln (x^{4} + 27)$
59303	Find the Derivative Using Chain Rule - d/dx	2 square root of 2x-2	$2 \sqrt{2 x - 2}$
59304	Find the Inflection Points	f(t)=e^(-2t^2)	$f (t) = e^{- 2 t^{2}}$
59305	Evaluate the Derivative at y=4x	y=3x-2 , y=4x	$y = 3 x - 2$ , $y = 4 x$
59306	Divide	81/4	$\frac{81}{4}$
59307	Find the Inflection Points	f(x)=xe^(-x)	$f (x) = x e^{- x}$
59308	Find the Inflection Points	y=(x^3)/3-x^2-15x	$y = \frac{x^{3}}{3} - x^{2} - 15 x$
59309	Find the Asymptotes	xe^(-x)	$x e^{- x}$
59310	Evaluate the Function	f(x+2)=x^2+3x-2	$f (x + 2) = x^{2} + 3 x - 2$
59311	Find the Average Value of the Equation	y=4x-2 , (1,3)	$y = 4 x - 2$ , $(1, 3)$
59312	Find the Second Derivative	f(x)=x/(x^2+1)	$f (x) = \frac{x}{x^{2} + 1}$
59313	Find the Asymptotes	(x^2)/(x^2-16)	$\frac{x^{2}}{x^{2} - 16}$
59314	Find the Area Under the Curve	f(x)=8x-24 ; [2,6]	$f (x) = 8 x - 24$ ; $[2, 6]$
59315	Find the Derivative of the Integral	F(x) = integral from x to x^2 of e^(t^4) with respect to t	$F (x) = \int_{x}^{x^{2}} e^{t^{4}} d t$
59316	Find the Roots (Zeros)	x^2-2x+2	$x^{2} - 2 x + 2$
59317	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3-7x^2-40x+5	$f (x) = 2 x^{3} - 7 x^{2} - 40 x + 5$
59318	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^2e^(-x)	$f (x) = x^{2} e^{- x}$
59319	Find the Inflection Points	y=x^4-5x^2	$y = x^{4} - 5 x^{2}$
59320	Find the Asymptotes	y=tan(x-2)	$y = \tan (x - 2)$
59321	Divide	1/0	$\frac{1}{0}$
59322	Find the Critical Points	f(x)=x^(5/3)-5x^(2/3)	$f (x) = x^{\frac{5}{3}} - 5 x^{\frac{2}{3}}$
59323	Divide	125/3	$\frac{125}{3}$
59324	Divide	16/2	$\frac{16}{2}$
59325	Find the Critical Points	g(y)=(y-3)/(y^2-3y+9)	$g (y) = \frac{y - 3}{y^{2} - 3 y + 9}$
59326	Find the Sum of the Series	3 , 11 , 19 , 27 , 35	$3$ , $11$ , $19$ , $27$ , $35$
59327	Evaluate the Derivative at y=x	y=x^2-2x , y=x	$y = x^{2} - 2 x$ , $y = x$
59328	Find the LCM	24x^5y^4 45x^6y^3	$24 x^{5} y^{4}$ $45 x^{6} y^{3}$
59329	Find the Derivative of the Integral	limit as x approaches infinity of 1/( square root of x) integral from 1 to x of 1/( square root of t) with respect to t	$lim_{x \to \infty} \frac{1}{\sqrt{x}} \int_{1}^{x} \frac{1}{\sqrt{t}} d t$
59330	Find the Third Derivative	f(x)=e^x	$f (x) = e^{x}$
59331	Find the Roots (Zeros)	x^2+x-2	$x^{2} + x - 2$
59332	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-3x^2	$f (x) = x^{3} - 3 x^{2}$
59333	Find the Concavity	y=(x^3)/3-x^2-15x	$y = \frac{x^{3}}{3} - x^{2} - 15 x$
59334	Find the Second Derivative	x^2-y^2=25	$x^{2} - y^{2} = 25$
59335	Find the Roots (Zeros)	x^2-x-2	$x^{2} - x - 2$
59336	Find the Inverse	f(x) = square root of 5x	$f (x) = \sqrt{5 x}$
59337	Find Where Increasing/Decreasing Using Derivatives	f(x)=xe^x	$f (x) = x e^{x}$
59338	Find the Fourth Term	8 , 16 , 24	$8$ , $16$ , $24$
59339	Find the Critical Points	f(x)=x^3-12x+2	$f (x) = x^{3} - 12 x + 2$
59340	Find the Roots (Zeros)	x^2-2x-3	$x^{2} - 2 x - 3$
59341	Find the Inflection Points	f(x)=x^3-6x-1	$f (x) = x^{3} - 6 x - 1$
59342	Find the Root Mean Square	y=4x-2 , (1,3)	$y = 4 x - 2$ , $(1, 3)$
59343	Find the Derivative of the Integral	d/(dx) integral from 0 to x^2 of (1-t)/(1-t^2) with respect to t	$\frac{d}{d x} \int_{0}^{x^{2}} \frac{1 - t}{1 - t^{2}} d t$
59344	Convert to Rectangular	theta=(4pi)/3	$θ = \frac{4 π}{3}$
59345	Find Where Increasing/Decreasing	f(x)=1/((x+1)^2)	$f (x) = \frac{1}{{(x + 1)}^{2}}$
59346	Find the Maximum/Minimum Value	f(x)=x^2+2x-3	$f (x) = x^{2} + 2 x - 3$
59347	Find the Critical Points	g(y)=(y-1)/(y^2-3y+3)	$g (y) = \frac{y - 1}{y^{2} - 3 y + 3}$
59348	Find Where Increasing/Decreasing Using Derivatives	y=x square root of 36-x^2	$y = x \sqrt{36 - x^{2}}$
59349	Write in Standard Form	theta=(2pi)/3	$θ = \frac{2 π}{3}$
59350	Find the Sum of the First 6 Terms	1 , 2 , 4 , 8 , 16	$1$ , $2$ , $4$ , $8$ , $16$
59351	Find the Inflection Points	f(x)=x^4-6x^2+3	$f (x) = x^{4} - 6 x^{2} + 3$
59352	Find the Roots (Zeros)	x^3-8	$x^{3} - 8$
59353	Convert to Rectangular	theta=pi/6	$θ = \frac{π}{6}$
59354	Find the Second Derivative	f(x)=(x^2)/(1+x)	$f (x) = \frac{x^{2}}{1 + x}$
59355	Identify the Polar Equation	r=2+cos(theta)	$r = 2 + \cos (θ)$
59356	Find the Directrix	y^2=28x	$y^{2} = 28 x$
59357	Find Where Increasing/Decreasing Using Derivatives	f(x)=x-4x^-2	$f (x) = x - 4 x^{- 2}$
59358	Find the Second Derivative	y=e^(-x^2)	$y = e^{- x^{2}}$
59359	Find the Concavity	f(x) = natural log of x^4+27	$f (x) = \ln (x^{4} + 27)$
59360	Find the Concavity	f(x)=12e^x-e^(2x)	$f (x) = 12 e^{x} - e^{2 x}$
59361	Find the x and y Intercepts	f(x)=(x+1)/(x-1)	$f (x) = \frac{x + 1}{x - 1}$
59362	Find the Inflection Points	y=x^3-3x+2	$y = x^{3} - 3 x + 2$
59363	Find the Inverse	y=x^3+x	$y = x^{3} + x$
59364	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-6x^2	$f (x) = x^{3} - 6 x^{2}$
59365	Expand the Logarithmic Expression	natural log of x/( square root of x^4y^6)	$\ln (\frac{x}{\sqrt{x^{4} y^{6}}})$
59366	Find the Root Mean Square	y=x^2-8x , [0,5]	$y = x^{2} - 8 x$ , $[0, 5]$
59367	Find the Second Derivative	f(x,y)=8xe^(xy)	$f (x, y) = 8 x e^{x y}$
59368	Find the Derivative of the Integral	integral of 6x-2 with respect to x	$\int 6 x - 2 d x$
59369	Find the Second Derivative	f(x)=(x^2)/(3+x)	$f (x) = \frac{x^{2}}{3 + x}$
59370	Find the Second Derivative	f(x)=x^2+ square root of x	$f (x) = x^{2} + \sqrt{x}$
59371	Find the Second Derivative	f(x)=xsin(x)	$f (x) = x \sin (x)$
59372	Verify the Identity	(sin(x)+cos(x))/(1+cot(x))=sin(x)	$\frac{\sin (x) + \cos (x)}{1 + \cot (x)} = \sin (x)$
59373	Find the Focus	y^2=28x	$y^{2} = 28 x$
59374	Find the Maximum/Minimum Value	f(x)=x^3-3x^2+1	$f (x) = x^{3} - 3 x^{2} + 1$
59375	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4-4x^3	$f (x) = x^{4} - 4 x^{3}$
59376	Evaluate Using Summation Formulas	sum from k=1 to 20 of 30-k^2	$\sum_{k = 1}^{20} 30 - k^{2}$
59377	Evaluate Using Summation Formulas	sum from i=1 to n of 4k^3-4k	$\sum_{i = 1}^{n} 4 k^{3} - 4 k$
59378	Find the Area Under the Curve	f(x)=6x-18 ; [2,6]	$f (x) = 6 x - 18$ ; $[2, 6]$
59379	Find Where Increasing/Decreasing Using Derivatives	y=x square root of 100-x^2	$y = x \sqrt{100 - x^{2}}$
59380	Find the Sum of the First 6 Terms	1 , 3 , 5 , 7 , 9	$1$ , $3$ , $5$ , $7$ , $9$
59381	Convert to Interval Notation	(x+6)/(2x-7)>=0	$\frac{x + 6}{2 x - 7} \geq 0$
59382	Find Where Increasing/Decreasing	f(x)=2x^2-4x+3	$f (x) = 2 x^{2} - 4 x + 3$
59383	Find the Roots (Zeros)	x^2-2x+5	$x^{2} - 2 x + 5$
59384	Find the Roots (Zeros)	x^2-3x+2	$x^{2} - 3 x + 2$
59385	Find the Roots (Zeros)	x^2+1	$x^{2} + 1$
59386	Find the Critical Points	y=2x^2+7x-5	$y = 2 x^{2} + 7 x - 5$
59387	Find the Critical Points	y=xe^(-x)	$y = x e^{- x}$
59388	Find the Second Derivative	y=xe^x	$y = x e^{x}$
59389	Identify the Polar Equation	r=4-2cos(theta)	$r = 4 - 2 \cos (θ)$
59390	Find the Concavity	F(x)=x square root of 9-x	$F (x) = x \sqrt{9 - x}$
59391	Find the Second Derivative	f(x)=x(x-4)^3	$f (x) = x {(x - 4)}^{3}$
59392	Find the Asymptotes	9x^2-4y^2=36	$9 x^{2} - 4 y^{2} = 36$
59393	Find the Focus	x^2-4y=0	$x^{2} - 4 y = 0$
59394	Find the Focus	y^2=-36x	$y^{2} = - 36 x$
59395	Find the Vertices	(x^2)/16+(y^2)/25=1	$\frac{x^{2}}{16} + \frac{y^{2}}{25} = 1$
59396	Simplify/Condense	1/3( log base 8 of y+2+ log base 8 of y+4)- log base 8 of y-1	$\frac{1}{3} (\log_{8} (y + 2) + \log_{8} (y + 4)) - \log_{8} (y - 1)$
59397	Find the Roots (Zeros)	x^2-4x+4	$x^{2} - 4 x + 4$
59398	Find the Roots (Zeros)	x^2-6x+9	$x^{2} - 6 x + 9$
59399	Find Where Increasing/Decreasing	f(x)=x^2-10x	$f (x) = x^{2} - 10 x$
59400	Find the Second Derivative	f(x)=x^7e^x	$f (x) = x^{7} e^{x}$