Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
25701	Find the Concavity	f(x)=x^3-6x^2-135x	$f (x) = x^{3} - 6 x^{2} - 135 x$
25702	Find the Concavity	f(x)=x^4-2x^3	$f (x) = x^{4} - 2 x^{3}$
25703	Find the Concavity	f(x)=x^4-4x^3+10	$f (x) = x^{4} - 4 x^{3} + 10$
25704	Evaluate Using Summation Formulas	sum from n=1 to 5 of 2n+5	$\sum_{n = 1}^{5} 2 n + 5$
25705	Find the Concavity	f(x)=1/(x^2-6x-7)	$f (x) = \frac{1}{x^{2} - 6 x - 7}$
25706	Find the Concavity	f(x)=1/(x^4)	$f (x) = \frac{1}{x^{4}}$
25707	Find the Concavity	f(x)=(x^2-1)/(2x-1)	$f (x) = \frac{x^{2} - 1}{2 x - 1}$
25708	Find the Concavity	f(x)=(x^3)/(x^2-16)	$f (x) = \frac{x^{3}}{x^{2} - 16}$
25709	Find the Concavity	f(x)=(1- square root of x)/(1+ square root of x)	$f (x) = \frac{1 - \sqrt{x}}{1 + \sqrt{x}}$
25710	Find the Concavity	f(x)=(x^2+4)/(4-x^2)	$f (x) = \frac{x^{2} + 4}{4 - x^{2}}$
25711	Find the Concavity	f(x)=(x^2-2x)/(x^2-4)	$f (x) = \frac{x^{2} - 2 x}{x^{2} - 4}$
25712	Find the Concavity	f(x)=( square root of 9x^2+1)/x	$f (x) = \frac{\sqrt{9 x^{2} + 1}}{x}$
25713	Find the Concavity	f(x)=(x^2-2x+1)/(x-2)	$f (x) = \frac{x^{2} - 2 x + 1}{x - 2}$
25714	Find the Derivative - d/d@VAR	f(x)=(cot(x))/(sin(x))	$f (x) = \frac{\cot (x)}{\sin (x)}$
25715	Find the Concavity	f(x)=(2x)/(4x^2-1)	$f (x) = \frac{2 x}{4 x^{2} - 1}$
25716	Find the Concavity	f(x)=(2x)/(x^2-9)	$f (x) = \frac{2 x}{x^{2} - 9}$
25717	Find the Concavity	f(x)=(2x)/(x^2-16)	$f (x) = \frac{2 x}{x^{2} - 16}$
25718	Find the Concavity	f(x)=1/(9-x^2)	$f (x) = \frac{1}{9 - x^{2}}$
25719	Find the Derivative - d/d@VAR	f(x)=7/(2-3x)	$f (x) = \frac{7}{2 - 3 x}$
25720	Find the Concavity	f(x)=(2x^2+1)/(x^2-1)	$f (x) = \frac{2 x^{2} + 1}{x^{2} - 1}$
25721	Find the Concavity	f(x)=3/(x-2)	$f (x) = \frac{3}{x - 2}$
25722	Find the Concavity	f(x)=4/3x^3-12x^2+10x+1	$f (x) = \frac{4}{3} x^{3} - 12 x^{2} + 10 x + 1$
25723	Find the Concavity	f(x)=-5/(x-2)	$f (x) = - \frac{5}{x - 2}$
25724	Find the Concavity	f(x)=(6x)/(1+3x^2)	$f (x) = \frac{6 x}{1 + 3 x^{2}}$
25725	Use the Limit Definition to Find the Derivative	y=-5t^3+4t^2-3t+6	$y = - 5 t^{3} + 4 t^{2} - 3 t + 6$
25726	Use the Limit Definition to Find the Derivative	y=x^2+5x^3	$y = x^{2} + 5 x^{3}$
25727	Use the Limit Definition to Find the Derivative	y=(x-1)/(x+1)	$y = \frac{x - 1}{x + 1}$
25728	Use the Limit Definition to Find the Derivative	g(x)=x/(x-1)	$g (x) = \frac{x}{x - 1}$
25729	Use the Limit Definition to Find the Derivative	f(x)=x^2+5x^3	$f (x) = x^{2} + 5 x^{3}$
25730	Use the Limit Definition to Find the Derivative	y	$y$
25731	Use the Limit Definition to Find the Derivative	y=px^2	$y = p x^{2}$
25732	Use the Limit Definition to Find the Derivative	y=1/(x^2)	$y = \frac{1}{x^{2}}$
25733	Use the Limit Definition to Find the Derivative	y=sec(x)tan(x)	$y = \sec (x) \tan (x)$
25734	Use the Limit Definition to Find the Derivative	y=sin(x)	$y = \sin (x)$
25735	Use the Limit Definition to Find the Derivative	y=4-x^2	$y = 4 - x^{2}$
25736	Use the Limit Definition to Find the Derivative	y=8x-x^2	$y = 8 x - x^{2}$
25737	Use the Limit Definition to Find the Derivative	y=tan(x)	$y = \tan (x)$
25738	Use the Limit Definition to Find the Derivative	f(x)=(4x-2x^2+6)/(2x)	$f (x) = \frac{4 x - 2 x^{2} + 6}{2 x}$
25739	Use the Limit Definition to Find the Derivative	f(x)=(27-6x-x^2)/(x-3)	$f (x) = \frac{27 - 6 x - x^{2}}{x - 3}$
25740	Use the Limit Definition to Find the Derivative	f(x)=e^(ax)	$f (x) = e^{a x}$
25741	Use the Limit Definition to Find the Derivative	f(x) = square root of 2x+1	$f (x) = \sqrt{2 x + 1}$
25742	Use the Limit Definition to Find the Derivative	f(x)=x^2e^(-x)	$f (x) = x^{2} e^{- x}$
25743	Find the Derivative - d/d@VAR	f(x)=5 square root of x+6x^3-1/2x^2+ square root of pi	$f (x) = 5 \sqrt{x} + 6 x^{3} - \frac{1}{2} x^{2} + \sqrt{π}$
25744	Use the Limit Definition to Find the Derivative	f(x)=2x-3	$f (x) = 2 x - 3$
25745	Use the Limit Definition to Find the Derivative	f(x)=3	$f (x) = 3$
25746	Use the Limit Definition to Find the Derivative	f(x)=2 square root of x	$f (x) = 2 \sqrt{x}$
25747	Use the Limit Definition to Find the Derivative	f(x)=-2	$f (x) = - 2$
25748	Use the Limit Definition to Find the Derivative	f(x)=x^2-5x+6	$f (x) = x^{2} - 5 x + 6$
25749	Use the Limit Definition to Find the Derivative	f(x)=x^3-3x	$f (x) = x^{3} - 3 x$
25750	Use the Limit Definition to Find the Derivative	f(x)=x^4	$f (x) = x^{4}$
25751	Use the Limit Definition to Find the Derivative	f(x)=x^3-12x	$f (x) = x^{3} - 12 x$
25752	Use the Limit Definition to Find the Derivative	f(x)=x^5	$f (x) = x^{5}$
25753	Use the Limit Definition to Find the Derivative	f(x)=x^3-5x^2+6	$f (x) = x^{3} - 5 x^{2} + 6$
25754	Use the Limit Definition to Find the Derivative	f(x)=4x^3+2x^2+x-1	$f (x) = 4 x^{3} + 2 x^{2} + x - 1$
25755	Use the Limit Definition to Find the Derivative	f(x)=-5	$f (x) = - 5$
25756	Use the Limit Definition to Find the Derivative	f(x)=4x^2-5x	$f (x) = 4 x^{2} - 5 x$
25757	Use the Limit Definition to Find the Derivative	f(x)=5x^2-6x	$f (x) = 5 x^{2} - 6 x$
25758	Use the Limit Definition to Find the Derivative	f(x)=5x^3-3x^5	$f (x) = 5 x^{3} - 3 x^{5}$
25759	Use the Limit Definition to Find the Derivative	f(x)=cos(x)	$f (x) = \cos (x)$
25760	Find the Derivative - d/d@VAR	f(theta)=thetacos(theta)sin(theta)	$f (θ) = θ \cos (θ) \sin (θ)$
25761	Use the Limit Definition to Find the Derivative	f(x)=5x+17	$f (x) = 5 x + 17$
25762	Use the Limit Definition to Find the Derivative	f(x)=9x^2-27x+20	$f (x) = 9 x^{2} - 27 x + 20$
25763	Use the Limit Definition to Find the Derivative	p	$p$
25764	Use the Limit Definition to Find the Derivative	15x^3	$15 x^{3}$
25765	Use the Limit Definition to Find the Derivative	2x^2+3xy+4y^2-5x+2y	$2 x^{2} + 3 x y + 4 y^{2} - 5 x + 2 y$
25766	Use the Limit Definition to Find the Derivative	4x^2+1	$4 x^{2} + 1$
25767	Use the Limit Definition to Find the Derivative	f(t)=Kt^2	$f (t) = K t^{2}$
25768	Use the Limit Definition to Find the Derivative	f(x)=1/3x^3-x^2-4x+32/3	$f (x) = \frac{1}{3} x^{3} - x^{2} - 4 x + \frac{32}{3}$
25769	Find the Derivative - d/dt	(6t)/(6+ square root of t)	$\frac{6 t}{6 + \sqrt{t}}$
25770	Use the Limit Definition to Find the Derivative	4-x^2	$4 - x^{2}$
25771	Use the Limit Definition to Find the Derivative	f(x)=1/(4-x^2)	$f (x) = \frac{1}{4 - x^{2}}$
25772	Use the Limit Definition to Find the Derivative	f(x)=1/x	$f (x) = \frac{1}{x}$
25773	Use the Limit Definition to Find the Derivative	f(x)=(2x)/(x+3)	$f (x) = \frac{2 x}{x + 3}$
25774	Find the Critical Points	f(x)=x^6-9x^4	$f (x) = x^{6} - 9 x^{4}$
25775	Find the Critical Points	f(x)=x^4-6x^2+8x+10	$f (x) = x^{4} - 6 x^{2} + 8 x + 10$
25776	Use the Limit Definition to Find the Derivative	e^(-5x)	$e^{- 5 x}$
25777	Use the Limit Definition to Find the Derivative	(sin(h(x)))/(e^x)	$\frac{\sinh (x)}{e^{x}}$
25778	Use the Limit Definition to Find the Derivative	(sin(4x))/(2x)	$\frac{\sin (4 x)}{2 x}$
25779	Use the Limit Definition to Find the Derivative	sec(x)^2	$\sec^{2} (x)$
25780	Determine if the Expression is a Factor Using Synthetic Division	42 , 24	$42$ , $24$
25781	Check if Continuous Over an Interval	f(x)=x^2+2x , 0<x<6	$f (x) = x^{2} + 2 x$ , $0 < x < 6$
25782	Check if Differentiable Over an Interval	y=3/(x-2) , [4,7]	$y = \frac{3}{x - 2}$ , $[4, 7]$
25783	Find the Average Value of the Equation	y=x^2 , (2,5)	$y = x^{2}$ , $(2, 5)$
25784	Find the Average Value of the Equation	y=3/(x-2) , [4,7]	$y = \frac{3}{x - 2}$ , $[4, 7]$
25785	Check if Continuous Over an Interval	y=x^3 , [0,5]	$y = x^{3}$ , $[0, 5]$
25786	Find the Average Value of the Derivative	f(x)=(2x)/3+3x , -1<x<-0	$f (x) = \frac{2 x}{3} + 3 x$ , $- 1 < x < - 0$
25787	Find the Average Value of the Derivative	y = square root of 2x , (2,8)	$y = \sqrt{2 x}$ , $(2, 8)$
25788	Find the Average Value of the Derivative	y=x^2-3x+1 , [0,2]	$y = x^{2} - 3 x + 1$ , $[0, 2]$
25789	Find the Average Value of the Derivative	y=100-x^2 , [-10,10]	$y = 100 - x^{2}$ , $[- 10, 10]$
25790	Find the Average Value of the Derivative	y=4x-2 , (1,3)	$y = 4 x - 2$ , $(1, 3)$
25791	Find the Average Value of the Derivative	y=2x , [3,5]	$y = 2 x$ , $[3, 5]$
25792	Find the Average Value of the Derivative	y=2x , [3,6]	$y = 2 x$ , $[3, 6]$
25793	Find the Average Value of the Equation	y=3x^(2/3)-2x , [-1,1]	$y = 3 x^{\frac{2}{3}} - 2 x$ , $[- 1, 1]$
25794	Find the Tangent Given the Point	(40,9)	$(40, 9)$
25795	Find Where the Mean Value Theorem is Satisfied	g(x)=2+x(x^2-3) , [3,6]	$g (x) = 2 + x (x^{2} - 3)$ , $[3, 6]$
25796	Find the Tangent Given the Point	(1,-7)	$(1, - 7)$
25797	Find the Angle Between the Vectors	(3,0) , (0,3)	$(3, 0)$ , $(0, 3)$
25798	Find the Arc Length	f(x)=2/3x^(3/2)+1 , [0,4]	$f (x) = \frac{2}{3} x^{\frac{3}{2}} + 1$ , $[0, 4]$
25799	Find the Average Value of the Derivative	y=81-x^2 , [-9,9]	$y = 81 - x^{2}$ , $[- 9, 9]$
25800	Find the Average Value of the Equation	y=(x^2-4x)/(x^2+2x) , (2,-1/2)	$y = \frac{x^{2} - 4 x}{x^{2} + 2 x}$ , $(2, - \frac{1}{2})$