Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
4701	Find the Antiderivative	f(x)=3x^5+x-4	$f (x) = 3 x^{5} + x - 4$
4702	Find the Antiderivative	f(x)=6(2x+1)^5(2)	$f (x) = 6 {(2 x + 1)}^{5} (2)$
4703	Find the Antiderivative	f(x)=5x^4-4x^5	$f (x) = 5 x^{4} - 4 x^{5}$
4704	Find the Antiderivative	f(x)=2x^2	$f (x) = 2 x^{2}$
4705	Find the Antiderivative	f(x)=sin(2x)	$f (x) = \sin (2 x)$
4706	Find the Antiderivative	sin(x^2)	$\sin (x^{2})$
4707	Find the Antiderivative	g(t)=(6+t+t^2)/( square root of t)	$g (t) = \frac{6 + t + t^{2}}{\sqrt{t}}$
4708	Find the Antiderivative	f(x)=1/2x^(1/3)-2/(x^3)+3/( square root of x)	$f (x) = \frac{1}{2} x^{\frac{1}{3}} - \frac{2}{x^{3}} + \frac{3}{\sqrt{x}}$
4709	Find the Antiderivative	f(t)=10t^3+21	$f (t) = 10 t^{3} + 21$
4710	Find the Antiderivative	f(x)=(x+1)(2x-1)	$f (x) = (x + 1) (2 x - 1)$
4711	Find the Antiderivative	f(x)=x^(1/2)	$f (x) = x^{\frac{1}{2}}$
4712	Find the Antiderivative	f(x)=e^(-2x)	$f (x) = e^{- 2 x}$
4713	Find the Antiderivative	f(x)=ax^6	$f (x) = a x^{6}$
4714	Find the Antiderivative	4sin(x)	$4 \sin (x)$
4715	Find the Antiderivative	4x-x^2	$4 x - x^{2}$
4716	Find the Antiderivative	2x^(1/2)	$2 x^{\frac{1}{2}}$
4717	Find the Antiderivative	cot(x)	$\cot (x)$
4718	Find the Antiderivative	9x^2	$9 x^{2}$
4719	Find the Antiderivative	6x	$6 x$
4720	Find the Antiderivative	e^2	$e^{2}$
4721	Find the Antiderivative	e^(-2x)	$e^{- 2 x}$
4722	Find the Antiderivative	e^(-x^2)	$e^{- x^{2}}$
4723	Find the Antiderivative	x square root of x	$x \sqrt{x}$
4724	Find the Antiderivative	3^x	$3^{x}$
4725	Find the Antiderivative	x^(1/3)	$x^{\frac{1}{3}}$
4726	Find the Antiderivative	x^-4	$x^{- 4}$
4727	Find the Function	f''(x)=12x+sin(x)	$f'' (x) = 12 x + \sin (x)$
4728	Simplify/Condense	11 natural log of 8-11 natural log of 1	$11 \ln (8) - 11 \ln (1)$
4729	Simplify/Condense	natural log of 2* natural log of 2	$\ln (2) \cdot \ln (2)$
4730	Simplify/Condense	natural log of 5+5 natural log of 3	$\ln (5) + 5 \ln (3)$
4731	Simplify/Condense	natural log of 3x-5- natural log of x^2+5	$\ln (3 x - 5) - \ln (x^{2} + 5)$
4732	Expand the Logarithmic Expression	natural log of 1/2	$\ln (\frac{1}{2})$
4733	Write in Exponential Form	natural log of natural log of x=1	$\ln (\ln (x)) = 1$
4734	Determine if @POINT is a Solution	(4,-3) , -3x+2y=-8 , 6x-y=27	$(4, - 3)$ , $- 3 x + 2 y = - 8$ , $6 x - y = 27$
4735	Find the 2nd Derivative	f(x)=7x^(3/2)	$f (x) = 7 x^{\frac{3}{2}}$
4736	Find the Local Maxima and Minima	x^3-9x	$x^{3} - 9 x$
4737	Find the Local Maxima and Minima	x^2-6x	$x^{2} - 6 x$
4738	Evaluate	log of 25+ log of 4	$\log (25) + \log (4)$
4739	Find the Local Maxima and Minima	f(x) = cube root of x-1	$f (x) = \sqrt[3]{x - 1}$
4740	Find the Local Maxima and Minima	f(x)=e^(1-2x^2)	$f (x) = e^{1 - 2 x^{2}}$
4741	Find the Local Maxima and Minima	f(x)=8/3x^3-2x+1/3	$f (x) = \frac{8}{3} x^{3} - 2 x + \frac{1}{3}$
4742	Find the Derivative - d/d@VAR	f(x)=1+7sin(x)-tan(x)	$f (x) = 1 + 7 \sin (x) - \tan (x)$
4743	Find the Derivative - d/d@VAR	f(x)=2x^2+x-1	$f (x) = 2 x^{2} + x - 1$
4744	Find the Derivative - d/d@VAR	f(x)=x^2-2x^3	$f (x) = x^{2} - 2 x^{3}$
4745	Find the Derivative - d/d@VAR	f(x)=\|x-8\|	$f (x) = \| x - 8 \|$
4746	Find the Derivative - d/d@VAR	f(x)=2x^3 natural log of x	$f (x) = 2 x^{3} \ln (x)$
4747	Find the Derivative - d/d@VAR	f(x)=-3x^2-36x-19	$f (x) = - 3 x^{2} - 36 x - 19$
4748	Find the Derivative - d/d@VAR	f(x)=8	$f (x) = 8$
4749	Find the Derivative - d/d@VAR	f(x)=8e^x+4 natural log of x^3	$f (x) = 8 e^{x} + 4 \ln (x^{3})$
4750	Find the Derivative - d/d@VAR	f(t)=2t^2+ square root of t^3	$f (t) = 2 t^{2} + \sqrt{t^{3}}$
4751	Find the Derivative - d/d@VAR	f(x)=3x+5	$f (x) = 3 x + 5$
4752	Find the Derivative - d/d@VAR	f(x)=3x^3	$f (x) = 3 x^{3}$
4753	Find the Derivative - d/d@VAR	f(x) = natural log of 5	$f (x) = \ln (5)$
4754	Find the Derivative - d/d@VAR	f(x) = natural log of 6x	$f (x) = \ln (6 x)$
4755	Find the Derivative - d/d@VAR	f(x) = natural log of square root of 3x	$f (x) = \ln (\sqrt{3 x})$
4756	Find the Derivative - d/d@VAR	f(x) = natural log of sin(x)^2	$f (x) = \ln (\sin^{2} (x))$
4757	Find the Derivative - d/d@VAR	f(x)=9x+7	$f (x) = 9 x + 7$
4758	Find the Derivative - d/d@VAR	f(x) = natural log of natural log of x^2	$f (x) = \ln (\ln (x^{2}))$
4759	Find the Derivative - d/d@VAR	f(x)=1/( square root of x^17)	$f (x) = \frac{1}{\sqrt{x^{17}}}$
4760	Find the Derivative - d/d@VAR	f(x)=x^3sin(x)	$f (x) = x^{3} \sin (x)$
4761	Find the Local Maxima and Minima	f(x)=9sin(x)+9cos(x)	$f (x) = 9 \sin (x) + 9 \cos (x)$
4762	Find the Local Maxima and Minima	f(x)=8x-x^2	$f (x) = 8 x - x^{2}$
4763	Find the Local Maxima and Minima	f(x)=x+25/x	$f (x) = x + \frac{25}{x}$
4764	Find the Local Maxima and Minima	f(x)=x+cos(x)	$f (x) = x + \cos (x)$
4765	Find the Local Maxima and Minima	g(x)=2x^4-20x^2+18	$g (x) = 2 x^{4} - 20 x^{2} + 18$
4766	Find the Local Maxima and Minima	G(x)=-2x^4+20x^2-18	$G (x) = - 2 x^{4} + 20 x^{2} - 18$
4767	Find the Local Maxima and Minima	y=x^3-4x^2-16x+3	$y = x^{3} - 4 x^{2} - 16 x + 3$
4768	Find the Local Maxima and Minima	y=xe^(-x)	$y = x e^{- x}$
4769	Find the Local Maxima and Minima	f(x)=x^3-12x-1	$f (x) = x^{3} - 12 x - 1$
4770	Find the Derivative - d/d@VAR	f(x)=5x-3	$f (x) = 5 x - 3$
4771	Find the Derivative - d/d@VAR	f(x)=x/(x^2+25)	$f (x) = \frac{x}{x^{2} + 25}$
4772	Find the Local Maxima and Minima	f(x)=x^2-8 natural log of x	$f (x) = x^{2} - 8 \ln (x)$
4773	Find the Local Maxima and Minima	f(x)=(x+3)/(x-3)	$f (x) = \frac{x + 3}{x - 3}$
4774	Find the Local Maxima and Minima	f(x)=x^3-48x	$f (x) = x^{3} - 48 x$
4775	Find the Local Maxima and Minima	f(x)=x^5-5x^4+100	$f (x) = x^{5} - 5 x^{4} + 100$
4776	Find the Local Maxima and Minima	f(x)=x^4-18x^2+81	$f (x) = x^{4} - 18 x^{2} + 81$
4777	Find the Local Maxima and Minima	f(x)=x^4-18x^2+1	$f (x) = x^{4} - 18 x^{2} + 1$
4778	Find the Local Maxima and Minima	f(x)=5x^2+4x-6	$f (x) = 5 x^{2} + 4 x - 6$
4779	Find the Local Maxima and Minima	f(x)=5-x-x^2	$f (x) = 5 - x - x^{2}$
4780	Find the Local Maxima and Minima	f(x)=6x^4+32x^3	$f (x) = 6 x^{4} + 32 x^{3}$
4781	Find the Local Maxima and Minima	f(x)=6x-x^2	$f (x) = 6 x - x^{2}$
4782	Evaluate the Limit	limit as x approaches 0 of 1/(x^2(x+7))	$lim_{x \to 0} \frac{1}{x^{2} (x + 7)}$
4783	Find the Local Maxima and Minima	f(x)=2x^4-8x^3	$f (x) = 2 x^{4} - 8 x^{3}$
4784	Find the Local Maxima and Minima	f(x)=2x^3+3x^2-12x-7	$f (x) = 2 x^{3} + 3 x^{2} - 12 x - 7$
4785	Find the Local Maxima and Minima	f(x)=-2x^2-4y^2+2x+2y+3	$f (x) = - 2 x^{2} - 4 y^{2} + 2 x + 2 y + 3$
4786	Find the Local Maxima and Minima	f(x)=3x^5-20x^3	$f (x) = 3 x^{5} - 20 x^{3}$
4787	Find the Local Maxima and Minima	f(x)=3x^4-4x^3	$f (x) = 3 x^{4} - 4 x^{3}$
4788	Find the Local Maxima and Minima	f(x)=3x^3-36x-3	$f (x) = 3 x^{3} - 36 x - 3$
4789	Find the Local Maxima and Minima	f(x)=3x^3-9x	$f (x) = 3 x^{3} - 9 x$
4790	Find the Derivative - d/dx	xcos(x)	$x \cos (x)$
4791	Evaluate the Limit	limit as x approaches 4 of (x^2-16)/(4-x)	$lim_{x \to 4} \frac{x^{2} - 16}{4 - x}$
4792	Evaluate the Limit	limit as x approaches 4 of 1/( square root of x-2)-4/(x-4)	$lim_{x \to 4} \frac{1}{\sqrt{x} - 2} - \frac{4}{x - 4}$
4793	Evaluate the Limit	limit as x approaches 3 from the right of natural log of x^2-9	$lim_{x \to 3} \ln (x^{2} - 9)$
4794	Evaluate the Limit	limit as x approaches 0 of x/(\|x\|)	$lim_{x \to 0} \frac{x}{\| x \|}$
4795	Evaluate the Limit	limit as x approaches 0 of x/(tan(x))	$lim_{x \to 0} \frac{x}{\tan (x)}$
4796	Evaluate the Limit	limit as h approaches 0 of ( square root of 1+h-1)/h	$lim_{h \to 0} \frac{\sqrt{1 + h} - 1}{h}$
4797	Evaluate the Limit	limit as x approaches negative infinity of x^2+x^3	$lim_{x \to - \infty} x^{2} + x^{3}$
4798	Evaluate the Limit	limit as x approaches pi of 9sin(x+sin(x))	$lim_{x \to π} 9 \sin (x + \sin (x))$
4799	Evaluate the Limit	limit as x approaches 3 of g(x)	$lim_{x \to 3} g (x)$
4800	Evaluate the Limit	limit as t approaches 0 of 1/(t square root of 1+t)-1/t	$lim_{t \to 0} \frac{1}{t \sqrt{1 + t}} - \frac{1}{t}$