Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
61701	Find the Inflection Points	f'(x)=x^3-4x	$f' (x) = x^{3} - 4 x$
61702	Find the Inflection Points	f'(x)=3x^4-12x^3	$f' (x) = 3 x^{4} - 12 x^{3}$
61703	Find the Inflection Points	y=(3x)/(x^2-4)	$y = \frac{3 x}{x^{2} - 4}$
61704	Find the Inflection Points	y=x^(7/9)	$y = x^{\frac{7}{9}}$
61705	Complete the Square	x^2+6x+13	$x^{2} + 6 x + 13$
61706	Complete the Square	x^2-4x+5	$x^{2} - 4 x + 5$
61707	Find the Inverse	(6x-1)/(2x+9)	$\frac{6 x - 1}{2 x + 9}$
61708	Find the Inverse	square root of x-9	$\sqrt{x - 9}$
61709	Find the Inverse	sixth root of x	$\sqrt[6]{x}$
61710	Find the Number of Possibilities	5 permute 3*6 choose 4	${}_{5}P_{3} \cdot {}_{6}C_{4}$
61711	Find the Inverse	x^5+3x-2	$x^{5} + 3 x - 2$
61712	Find the Inverse	x^(-1/3)	$x^{- \frac{1}{3}}$
61713	Find the Number of Possibilities	40 choose 1	${}_{40}C_{1}$
61714	Convert to Rectangular	x=t^2 , y=t^9	$x = t^{2}$ , $y = t^{9}$
61715	Add	y^2+y^2	$y^{2} + y^{2}$
61716	Evaluate Using the Given Value	y=1 , 357	$y = 1$ , $357$
61717	Find the Perfect Square Trinomial	x^2+8x+c	$x^{2} + 8 x + c$
61718	Find the Roots (Zeros)	f(x)=5x^6-105x^5+655x^4-35x^3-11760x^2+27440x	$f (x) = 5 x^{6} - 105 x^{5} + 655 x^{4} - 35 x^{3} - 11760 x^{2} + 27440 x$
61719	Find the Roots (Zeros)	f(x)=x^3+10x^2-13x-22	$f (x) = x^{3} + 10 x^{2} - 13 x - 22$
61720	Find the Inflection Points	x^4-2x^2-3	$x^{4} - 2 x^{2} - 3$
61721	Find the Inflection Points	x^4	$x^{4}$
61722	Find the Inflection Points	x^4-4x^3+4x^2	$x^{4} - 4 x^{3} + 4 x^{2}$
61723	Find the Inflection Points	x^7 natural log of x	$x^{7} \ln (x)$
61724	Find the Inflection Points	e^x(x+2)	$e^{x} (x + 2)$
61725	Find the Inflection Points	e^x(x-2)	$e^{x} (x - 2)$
61726	Find the Inflection Points	x^3+12x^2-x-24	$x^{3} + 12 x^{2} - x - 24$
61727	Find the Inflection Points	-x^3+15x^2+5x-10	$- x^{3} + 15 x^{2} + 5 x - 10$
61728	Find the Inflection Points	x square root of 2-x^2	$x \sqrt{2 - x^{2}}$
61729	Find the Inflection Points	1/12x^4-2x^2	$\frac{1}{12} x^{4} - 2 x^{2}$
61730	Find the Inflection Points	(3x)/(x^2-1)	$\frac{3 x}{x^{2} - 1}$
61731	Find the Inflection Points	(1-x)e^x	$(1 - x) e^{x}$
61732	Find the Inflection Points	2x-4	$2 x - 4$
61733	Find the Inflection Points	2xe^(-x^2)	$2 x e^{- x^{2}}$
61734	Find the Inflection Points	210+8x^3+x^4	$210 + 8 x^{3} + x^{4}$
61735	Find the Inflection Points	5x^(2/3)-2x^(5/3)	$5 x^{\frac{2}{3}} - 2 x^{\frac{5}{3}}$
61736	Expand the Logarithmic Expression	log base 14 of 14x	$\log_{14} (14 x)$
61737	Expand the Logarithmic Expression	log base 2 of 8x^2+16x+8	$\log_{2} (8 x^{2} + 16 x + 8)$
61738	Expand the Logarithmic Expression	log base 8 of (8 square root of 5)/(11v)	$\log_{8} (\frac{8 \sqrt{5}}{11 v})$
61739	Expand the Logarithmic Expression	natural log of ab^7	$\ln (a b^{7})$
61740	Expand the Logarithmic Expression	log base 5 of square root of 25wz	$\log_{5} (\sqrt{25 w z})$
61741	Expand the Logarithmic Expression	log base b of 1152b	$\log_{b} (1152 b)$
61742	Find the Derivative Using Chain Rule - d/dx	tan(x/2)-cot(x/2)	$\tan (\frac{x}{2}) - \cot (\frac{x}{2})$
61743	Convert to Rectangular	(6(cos(60 degrees )+isin(60 degrees )))^3	${(6 (\cos (60 °) + i \sin (60 °)))}^{3}$
61744	Convert to Rectangular	10(cos(30 degrees )+isin(30 degrees ))	$10 (\cos (30 °) + i \sin (30 °))$
61745	Convert to Rectangular	5-5i	$5 - 5 i$
61746	Convert to Rectangular	64(cos(0)+isin(0))	$64 (\cos (0) + i \sin (0))$
61747	Convert to Rectangular	64(cos(219 degrees )+isin(219 degrees ))	$64 (\cos (219 °) + i \sin (219 °))$
61748	Convert to Rectangular	8(cos(30 degrees )+isin(30 degrees ))	$8 (\cos (30 °) + i \sin (30 °))$
61749	Convert to Rectangular	r=4/(1-cos(theta))	$r = \frac{4}{1 - \cos (θ)}$
61750	Find Where Increasing/Decreasing Using Derivatives	x square root of 9-x^2	$x \sqrt{9 - x^{2}}$
61751	Find Where Increasing/Decreasing Using Derivatives	x^3+2x^2	$x^{3} + 2 x^{2}$
61752	Find Where Increasing/Decreasing Using Derivatives	x^3-12x-1	$x^{3} - 12 x - 1$
61753	Find Where Increasing/Decreasing Using Derivatives	x^3+x^2	$x^{3} + x^{2}$
61754	Find Where Increasing/Decreasing Using Derivatives	x^3-3x^2-9x+5	$x^{3} - 3 x^{2} - 9 x + 5$
61755	Find Where Increasing/Decreasing Using Derivatives	x^5+10x^4-11	$x^{5} + 10 x^{4} - 11$
61756	Find Where Increasing/Decreasing Using Derivatives	x^4-8x^2+16	$x^{4} - 8 x^{2} + 16$
61757	Find Where Increasing/Decreasing Using Derivatives	4x^3-12x^2	$4 x^{3} - 12 x^{2}$
61758	Find Where Increasing/Decreasing Using Derivatives	4x^3-4x	$4 x^{3} - 4 x$
61759	Find Where Increasing/Decreasing Using Derivatives	8x^6-13x^5	$8 x^{6} - 13 x^{5}$
61760	Find Where Increasing/Decreasing Using Derivatives	(x^2+5x)/(25-x^2)	$\frac{x^{2} + 5 x}{25 - x^{2}}$
61761	Find Where Increasing/Decreasing Using Derivatives	(x+1)/(x-1)	$\frac{x + 1}{x - 1}$
61762	Find Where Increasing/Decreasing Using Derivatives	(x-7)(x^2-14x-98)	$(x - 7) (x^{2} - 14 x - 98)$
61763	Find Where Increasing/Decreasing Using Derivatives	10-27x+9x^2-x^3	$10 - 27 x + 9 x^{2} - x^{3}$
61764	Find the Concavity	f(x)=-e^x(x-1)	$f (x) = - e^{x} (x - 1)$
61765	Find the Concavity	f(x)=36x+3x^2-2x^3	$f (x) = 36 x + 3 x^{2} - 2 x^{3}$
61766	Find the Concavity	f(x)=-2x^3-9x^2+108x-10	$f (x) = - 2 x^{3} - 9 x^{2} + 108 x - 10$
61767	Find the Concavity	f(x)=x^4e^x	$f (x) = x^{4} e^{x}$
61768	Find the Concavity	f(x)=x^3-6x^2-15x+3	$f (x) = x^{3} - 6 x^{2} - 15 x + 3$
61769	Find the Concavity	f(x)=x^3-3x^2-9x+8	$f (x) = x^{3} - 3 x^{2} - 9 x + 8$
61770	Find the Concavity	f(x)=x^2-3x+8	$f (x) = x^{2} - 3 x + 8$
61771	Find the Concavity	f(x)=190+8x^3+x^4	$f (x) = 190 + 8 x^{3} + x^{4}$
61772	Find the Concavity	f(x)=1+1/x+7/(x^2)+1/(x^3)	$f (x) = 1 + \frac{1}{x} + \frac{7}{x^{2}} + \frac{1}{x^{3}}$
61773	Find the Concavity	f(x)=14x+14e^x	$f (x) = 14 x + 14 e^{x}$
61774	Find the Concavity	f(x)=(x+4)/(x^2-16)	$f (x) = \frac{x + 4}{x^{2} - 16}$
61775	Find the Derivative of the Integral	F(x) = integral from 0 to x of (t^2)/(1+t^3) with respect to t	$F (x) = \int_{0}^{x} \frac{t^{2}}{1 + t^{3}} d t$
61776	Find the Derivative of the Integral	g(x) = integral from 3x to 6x of (u^2-1)/(u^2+1) with respect to u	$g (x) = \int_{3 x}^{6 x} \frac{u^{2} - 1}{u^{2} + 1} d u$
61777	Find the Derivative of the Integral	g(x) = integral from 0 to x of square root of t^2+t^4 with respect to t	$g (x) = \int_{0}^{x} \sqrt{t^{2} + t^{4}} d t$
61778	Find the Derivative of the Integral	y = integral from 2-3x to 3 of (u^3)/(1+u^2) with respect to u	$y = \int_{2 - 3 x}^{3} \frac{u^{3}}{1 + u^{2}} d u$
61779	Write as a Single Logarithm	11 natural log of x-15 natural log of x^2+2	$11 \ln (x) - 15 \ln (x^{2} + 2)$
61780	Write as a Single Logarithm	2 natural log of 7- natural log of x- natural log of 3	$2 \ln (7) - \ln (x) - \ln (3)$
61781	Find the Derivative of the Integral	integral from 6x to 7x of (u^2-5)/(u^2+5) with respect to u	$\int_{6 x}^{7 x} \frac{u^{2} - 5}{u^{2} + 5} d u$
61782	Find the Derivative of the Integral	integral from 6x to 7x of (u^2-1)/(u^2+1) with respect to u	$\int_{6 x}^{7 x} \frac{u^{2} - 1}{u^{2} + 1} d u$
61783	Find the Derivative of the Integral	integral from -1 to x^2 of e^t+t^3 with respect to t	$\int_{- 1}^{x^{2}} e^{t} + t^{3} d t$
61784	Find the Derivative of the Integral	d/(dx) integral from 4 to x^3 of 1/(p^2) with respect to p	$\frac{d}{d x} \int_{4}^{x^{3}} \frac{1}{p^{2}} d p$
61785	Find the Derivative of the Integral	integral from 1 to 14x^2 of 1/t with respect to t	$\int_{1}^{14 x^{2}} \frac{1}{t} d t$
61786	Find the Derivative of the Integral	integral from 2 to 10 of f(x) with respect to x- integral from 2 to 7 of f(x) with respect to x	$\int_{2}^{10} f (x) d x - \int_{2}^{7} f (x) d x$
61787	Find the Derivative of the Integral	integral from 0 to x of sin(t) with respect to t	$\int_{0}^{x} \sin (t) d t$
61788	Find the Derivative of the Integral	integral from 0 to x^5 of e^(-2t) with respect to t	$\int_{0}^{x^{5}} e^{- 2 t} d t$
61789	Identify the Sequence	1/3 , 2/4 , 3/5 , 4/6 , 5/7	$\frac{1}{3}$ , $\frac{2}{4}$ , $\frac{3}{5}$ , $\frac{4}{6}$ , $\frac{5}{7}$
61790	Identify the Sequence	1/4 , 2/5 , 3/6 , 4/7 , 5/8	$\frac{1}{4}$ , $\frac{2}{5}$ , $\frac{3}{6}$ , $\frac{4}{7}$ , $\frac{5}{8}$
61791	Determine if Rational	square root of 29	$\sqrt{29}$
61792	Solve by Factoring	16x^2+18=19	$16 x^{2} + 18 = 19$
61793	Convert to a Simplified Fraction	square root of 21	$\sqrt{21}$
61794	Solve by Factoring	x^4-2x^3=0	$x^{4} - 2 x^{3} = 0$
61795	Evaluate from the Right	limit as x approaches 3 from the right of f(x)	$lim_{x \to 3} f (x)$
61796	Convert to a Simplified Fraction	45 degrees	$45 °$
61797	Convert to a Simplified Fraction	2.718	$2.718$
61798	Convert to a Simplified Fraction	-0.85	$- 0.85$
61799	Convert to a Simplified Fraction	square root of 85	$\sqrt{85}$
61800	Convert to Regular Notation	4.7*10^-2	$4.7 \cdot 10^{- 2}$