Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
60501	Find the Directrix	y=x^2-8x+18	$y = x^{2} - 8 x + 18$
60502	Find the x and y Intercepts	f(X)=x^3+8x^2+15x	$f (X) = x^{3} + 8 x^{2} + 15 x$
60503	Find the Area Under the Curve	f(x)=32-2x^2 ; [0,7]	$f (x) = 32 - 2 x^{2}$ ; $[0, 7]$
60504	Find the Second Derivative	f(x)=2e^x	$f (x) = 2 e^{x}$
60505	Find the Third Derivative	h(x)=x^2e^(12x)	$h (x) = x^{2} e^{12 x}$
60506	Find the Second Derivative	f(x)=sin(x)^2	$f (x) = \sin^{2} (x)$
60507	Find the Inflection Points	y=(x^2)/(x^2+147)	$y = \frac{x^{2}}{x^{2} + 147}$
60508	Find the Inflection Points	y=2x^6+9x^5+10x^4-x+2	$y = 2 x^{6} + 9 x^{5} + 10 x^{4} - x + 2$
60509	Find the Inflection Points	y=3/5(x^2-1)^(2/3)	$y = \frac{3}{5} {(x^{2} - 1)}^{\frac{2}{3}}$
60510	Complete the Square	x^2+2x+2	$x^{2} + 2 x + 2$
60511	Complete the Square	x^2+4x+8	$x^{2} + 4 x + 8$
60512	Find the Inflection Points	y=e^(-x^2)	$y = e^{- x^{2}}$
60513	Find the Inflection Points	y=(4x)/(x^2-9)	$y = \frac{4 x}{x^{2} - 9}$
60514	Find the Inflection Points	f'(x)=(x^3)/3-x^2-15x	$f' (x) = \frac{x^{3}}{3} - x^{2} - 15 x$
60515	Find the Inflection Points	y=(x^2)/(x^2+243)	$y = \frac{x^{2}}{x^{2} + 243}$
60516	Find the Inflection Points	y=x/(x^2-4)	$y = \frac{x}{x^{2} - 4}$
60517	Find the Inflection Points	f(x)=x square root of 36-x^2	$f (x) = x \sqrt{36 - x^{2}}$
60518	Find the Inflection Points	f(x)=x^3 natural log of x	$f (x) = x^{3} \ln (x)$
60519	Find the Inflection Points	f(x)=x^3-4x^2	$f (x) = x^{3} - 4 x^{2}$
60520	Find the Inflection Points	f(x)=x natural log of x	$f (x) = x \ln (x)$
60521	Find the Inflection Points	f(x)=x^4e^x	$f (x) = x^{4} e^{x}$
60522	Find the Inflection Points	f(x)=(x-1)^4	$f (x) = {(x - 1)}^{4}$
60523	Find the Inflection Points	f(x)=2x(x-3)^3	$f (x) = 2 x {(x - 3)}^{3}$
60524	Find the Inflection Points	f(x)=5x^3+2x+5	$f (x) = 5 x^{3} + 2 x + 5$
60525	Find the Inflection Points	f(x)=(2x-3)^5	$f (x) = {(2 x - 3)}^{5}$
60526	Find the Inflection Points	f(x)=1/12x^4-2x^2+15	$f (x) = \frac{1}{12} x^{4} - 2 x^{2} + 15$
60527	Find the Inflection Points	f(x)=(32x)/(x^2+16)	$f (x) = \frac{32 x}{x^{2} + 16}$
60528	Solve the System of @WORD	x^3<64x	$x^{3} < 64 x$
60529	Convert to Trigonometric Form	-1- square root of 3i	$- 1 - \sqrt{3} i$
60530	Convert to Interval Notation	((x+7)(13-5x)^4)/((1-4x)^3(2x+11)^2)<=0	$\frac{(x + 7) {(13 - 5 x)}^{4}}{{(1 - 4 x)}^{3} {(2 x + 11)}^{2}} \leq 0$
60531	Divide Using Long Division	127÷13=	$127 \div 13 =$
60532	Find Where Increasing/Decreasing Using Derivatives	2x(x-2)^3	$2 x {(x - 2)}^{3}$
60533	Find Where Increasing/Decreasing Using Derivatives	xe^(-x^2)	$x e^{- x^{2}}$
60534	Find the Inverse	x^3-9	$x^{3} - 9$
60535	Find the Domain	natural log of x^2+16	$\ln (x^{2} + 16)$
60536	Find the Local Maxima and Minima	f(x)=2x(x-3)^3	$f (x) = 2 x {(x - 3)}^{3}$
60537	Find the Local Maxima and Minima	f(x)=15x^(2/3)-10x	$f (x) = 15 x^{\frac{2}{3}} - 10 x$
60538	Find the Local Maxima and Minima	f(x)=x^2+3x-1	$f (x) = x^{2} + 3 x - 1$
60539	Find the Local Maxima and Minima	f(x)=x^3+3x^2-45x+4	$f (x) = x^{3} + 3 x^{2} - 45 x + 4$
60540	Find the Local Maxima and Minima	f(x)=x^3-3x^2-24x+56	$f (x) = x^{3} - 3 x^{2} - 24 x + 56$
60541	Find the Inflection Points	2xe^x	$2 x e^{x}$
60542	Find the Inflection Points	1/4x^4-x^3+6	$\frac{1}{4} x^{4} - x^{3} + 6$
60543	Find the Inflection Points	x^(2/3)e^x	$x^{\frac{2}{3}} e^{x}$
60544	Find the Inflection Points	x^3-12x^2+36x	$x^{3} - 12 x^{2} + 36 x$
60545	Find the Inflection Points	natural log of x^4+1	$\ln (x^{4} + 1)$
60546	Find the Inflection Points	x+sin(x)	$x + \sin (x)$
60547	Find the Inflection Points	x^3-3x^2+3x	$x^{3} - 3 x^{2} + 3 x$
60548	Find the Roots (Zeros)	f(x)=x^3+x-1	$f (x) = x^{3} + x - 1$
60549	Find the Critical Points	cos(3x)	$\cos (3 x)$
60550	Find the Critical Points	t^(3/4)-3t^(1/4)	$t^{\frac{3}{4}} - 3 t^{\frac{1}{4}}$
60551	Find the Critical Points	x^4-4x^3+2	$x^{4} - 4 x^{3} + 2$
60552	Find the Critical Points	x^2+2x+1	$x^{2} + 2 x + 1$
60553	Find the Critical Points	x^3-6x^2+9x	$x^{3} - 6 x^{2} + 9 x$
60554	Find the Concavity	y=e^(-x^2)	$y = e^{- x^{2}}$
60555	Find the Domain and Range	cube root of x+4	$\sqrt[3]{x + 4}$
60556	Find the Domain and Range	log base 4 of x+2	$\log_{4} (x + 2)$
60557	Find the Eccentricity	16x^2+y^2=16	$16 x^{2} + y^{2} = 16$
60558	Find the Eccentricity	9x^2+y^2=9	$9 x^{2} + y^{2} = 9$
60559	Find the Third Derivative	xe^(2x)	$x e^{2 x}$
60560	Find the Tangent Line at the Point	2xy-2x+y=-14 ; (2,-2)	$2 x y - 2 x + y = - 14$ ; $(2, - 2)$
60561	Find the Second Derivative	y=xe^(2x)	$y = x e^{2 x}$
60562	Find the Second Derivative	y=(3x-4)/(2x+5)	$y = \frac{3 x - 4}{2 x + 5}$
60563	Find the Second Derivative	x^2+6xy-2y^2=3	$x^{2} + 6 x y - 2 y^{2} = 3$
60564	Find the Second Derivative	2x^2+y^2=1	$2 x^{2} + y^{2} = 1$
60565	Find the Second Derivative	r=1/(2s)-6/(5s^4)	$r = \frac{1}{2 s} - \frac{6}{5 s^{4}}$
60566	Find the Second Derivative	y'=6-x-x^2	$y' = 6 - x - x^{2}$
60567	Find the Second Derivative	y = eighth root of x	$y = \sqrt[8]{x}$
60568	Find Where Increasing/Decreasing Using Derivatives	y=x^3-3x^2-1	$y = x^{3} - 3 x^{2} - 1$
60569	Write in Standard Form	9x^2+4y^2+36x-24y+36=0	$9 x^{2} + 4 y^{2} + 36 x - 24 y + 36 = 0$
60570	Find the Concavity	x^3-6x^2+9x+1	$x^{3} - 6 x^{2} + 9 x + 1$
60571	Find the Concavity	3x^5-20x^3	$3 x^{5} - 20 x^{3}$
60572	Find the Derivative of the Integral	integral from 8 to x^3 of 1/(p^2) with respect to p	$\int_{8}^{x^{3}} \frac{1}{p^{2}} d p$
60573	Find the Concavity	f(x)=(x-4)(x^2-8x-32)	$f (x) = (x - 4) (x^{2} - 8 x - 32)$
60574	Find the Concavity	f(x)=x natural log of x	$f (x) = x \ln (x)$
60575	Find the Concavity	f(x)=-3x^2+18x+16	$f (x) = - 3 x^{2} + 18 x + 16$
60576	Find the Concavity	f(x)=3x^4-24x^3+48x^2	$f (x) = 3 x^{4} - 24 x^{3} + 48 x^{2}$
60577	Find the Concavity	f(x)=6x^6-11x^5	$f (x) = 6 x^{6} - 11 x^{5}$
60578	Find the Concavity	f(x) = natural log of x^2+25	$f (x) = \ln (x^{2} + 25)$
60579	Find the Average Value of the Function	f(x)=x^2+x-6 ; [0,12]	$f (x) = x^{2} + x - 6$ ; $[0, 12]$
60580	Find the Antiderivative	f(x)=x-8	$f (x) = x - 8$
60581	Find the Antiderivative	f(y)=-11/(y^12)	$f (y) = \frac{- 11}{y^{12}}$
60582	Find the Antiderivative	f(y)=-14/(y^15)	$f (y) = \frac{- 14}{y^{15}}$
60583	Find the Antiderivative	h(t)=5cos(t)	$h (t) = 5 \cos (t)$
60584	Find the Antiderivative	r(theta)=sec(theta)tan(theta)-2e^theta	$r (θ) = \sec (θ) \tan (θ) - 2 e^{θ}$
60585	Find the Antiderivative	f(x)=x(15x+4)	$f (x) = x (15 x + 4)$
60586	Find the Antiderivative	f(x)=e^(10x)	$f (x) = e^{10 x}$
60587	Find the Antiderivative	f(x)=cos(8x)	$f (x) = \cos (8 x)$
60588	Find the Antiderivative	f(x)=x(18x+6)	$f (x) = x (18 x + 6)$
60589	Find the Antiderivative	f(x)=x^2-9x+2	$f (x) = x^{2} - 9 x + 2$
60590	Find the Antiderivative	f(x)=8e^x	$f (x) = 8 e^{x}$
60591	Find the Antiderivative	f(x)=9x- square root of x	$f (x) = 9 x - \sqrt{x}$
60592	Find the Antiderivative	f(x) = fourth root of x^3+ cube root of x^2	$f (x) = \sqrt[4]{x^{3}} + \sqrt[3]{x^{2}}$
60593	Find the Antiderivative	f(x)=10x+3	$f (x) = 10 x + 3$
60594	Find the Antiderivative	f(x)=5sin(x)	$f (x) = 5 \sin (x)$
60595	Find the Antiderivative	f(x)=4sin(x)	$f (x) = 4 \sin (x)$
60596	Find the Antiderivative	f(x)=1/(x^2)+x	$f (x) = \frac{1}{x^{2}} + x$
60597	Find the Antiderivative	f(x)=1/(1+x^2)	$f (x) = \frac{1}{1 + x^{2}}$
60598	Find the Antiderivative	f(x)=1/(1+x^2)-e^x+5/x+1	$f (x) = \frac{1}{1 + x^{2}} - e^{x} + \frac{5}{x} + 1$
60599	Find the Antiderivative	f(t)=6t^6+7t^7+8t^8	$f (t) = 6 t^{6} + 7 t^{7} + 8 t^{8}$
60600	Convert to a Simplified Fraction	0.323232	$0.323232$