Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
6801	Find the Derivative - d/d@VAR	f(x)=(7x-1)^2	$f (x) = {(7 x - 1)}^{2}$
6802	Find the Derivative - d/d@VAR	f(x)=sin(x^2)	$f (x) = \sin (x^{2})$
6803	Find the Derivative - d/d@VAR	f(x)=(2x-5)^4(x^2+x+1)^5	$f (x) = {(2 x - 5)}^{4} {(x^{2} + x + 1)}^{5}$
6804	Find the Derivative - d/d@VAR	f(x)=(2x-7)^3	$f (x) = {(2 x - 7)}^{3}$
6805	Find the Derivative - d/d@VAR	f(x)=(e^(2x))/(x^8)	$f (x) = \frac{e^{2 x}}{x^{8}}$
6806	Find the Derivative - d/d@VAR	f(x)=((x+5)(x^2+5))/(x-8)	$f (x) = \frac{(x + 5) (x^{2} + 5)}{x - 8}$
6807	Evaluate the Limit	limit as t approaches -3 of (t^3+27)/(t+3)	$lim_{t \to - 3} \frac{t^{3} + 27}{t + 3}$
6808	Find the Derivative - d/d@VAR	f(x)=(e^x)/(tan(x))	$f (x) = \frac{e^{x}}{\tan (x)}$
6809	Find the Derivative - d/d@VAR	f(x)=(x^2-3x+1)/(x^2)	$f (x) = \frac{x^{2} - 3 x + 1}{x^{2}}$
6810	Find the Derivative - d/d@VAR	f(x)=(x^2-7x-8)/(x+1)	$f (x) = \frac{x^{2} - 7 x - 8}{x + 1}$
6811	Find the Derivative - d/d@VAR	f(x)=(x^2-25)/(x+5)	$f (x) = \frac{x^{2} - 25}{x + 5}$
6812	Find the Derivative - d/d@VAR	f(x)=1/x+1/(x^2)+1/(x^3)	$f (x) = \frac{1}{x} + \frac{1}{x^{2}} + \frac{1}{x^{3}}$
6813	Find the Derivative - d/d@VAR	f(x)=10^(xcos(x))	$f (x) = 10^{x \cos (x)}$
6814	Find the Derivative - d/d@VAR	f(x)=1/(1-x)	$f (x) = \frac{1}{1 - x}$
6815	Find the Derivative - d/d@VAR	f(x)=1/(x^7+2)	$f (x) = \frac{1}{x^{7} + 2}$
6816	Find the Derivative - d/d@VAR	f(x)=(x^3)/(x^2-9)	$f (x) = \frac{x^{3}}{x^{2} - 9}$
6817	Find the Derivative - d/d@VAR	f(x)=x^3-x	$f (x) = x^{3} - x$
6818	Find the Derivative - d/d@VAR	f(x)=e^(x^2-4)	$f (x) = e^{x^{2} - 4}$
6819	Find the Derivative - d/d@VAR	f(x)=xsin(x)	$f (x) = x \sin (x)$
6820	Find the Derivative - d/d@VAR	f(x)=(csc(3x))/(cot(3x))	$f (x) = \frac{\csc (3 x)}{\cot (3 x)}$
6821	Find the Derivative - d/d@VAR	f(x)=e^(1/(4x))	$f (x) = e^{\frac{1}{4 x}}$
6822	Find the Derivative - d/d@VAR	f(x)=x^3+8x	$f (x) = x^{3} + 8 x$
6823	Find the Derivative - d/d@VAR	f(x)=ax^3+bx^2+cx+d	$f (x) = a x^{3} + b x^{2} + c x + d$
6824	Find the Derivative - d/d@VAR	f(x)=ax^6	$f (x) = a x^{6}$
6825	Find the Derivative - d/d@VAR	f(x)=4x^3+4x^2	$f (x) = 4 x^{3} + 4 x^{2}$
6826	Evaluate the Limit	limit as x approaches 0 of ((3+x)^3-27)/x	$lim_{x \to 0} \frac{{(3 + x)}^{3} - 27}{x}$
6827	Evaluate the Limit	limit as x approaches 0 of (sin(x)^2)/(x^2)	$lim_{x \to 0} \frac{\sin^{2} (x)}{x^{2}}$
6828	Find the Derivative - d/d@VAR	f(x)=45/(14x)	$f (x) = \frac{45}{14 x}$
6829	Find the Derivative - d/d@VAR	f(x)=5/(2x)	$f (x) = \frac{5}{2 x}$
6830	Find the Derivative - d/d@VAR	f(x)=x^7e^x	$f (x) = x^{7} e^{x}$
6831	Find the Derivative - d/d@VAR	f(x)=3e^(-5x)	$f (x) = 3 e^{- 5 x}$
6832	Find the Derivative - d/d@VAR	f(x)=e^6	$f (x) = e^{6}$
6833	Find the Derivative - d/d@VAR	f(x)=3x^2 natural log of x	$f (x) = 3 x^{2} \ln (x)$
6834	Find the Derivative - d/d@VAR	f(x)=2x-x^2	$f (x) = 2 x - x^{2}$
6835	Find the Derivative - d/d@VAR	u(x)=(x^2)/9	$u (x) = \frac{x^{2}}{9}$
6836	Find the Derivative - d/d@VAR	f(x)=2x-1	$f (x) = 2 x - 1$
6837	Find the Derivative - d/d@VAR	f(x)=2x^2-5x	$f (x) = 2 x^{2} - 5 x$
6838	Find the Derivative - d/d@VAR	f(x)=x^3+3x	$f (x) = x^{3} + 3 x$
6839	Find the Derivative - d/d@VAR	f(x)=2-ex	$f (x) = 2 - e x$
6840	Find the Derivative - d/dx	log base 8 of x	$\log_{8} (x)$
6841	Find the Derivative - d/d@VAR	f(x)=4x^2+4x	$f (x) = 4 x^{2} + 4 x$
6842	Find the Derivative - d/d@VAR	f(x)=3x^4(2x^2-1)	$f (x) = 3 x^{4} (2 x^{2} - 1)$
6843	Find dy/dx	5y^2-8x^4+3=0	$5 y^{2} - 8 x^{4} + 3 = 0$
6844	Find the Derivative - d/d@VAR	f(x)=4x-5x^(3/4)	$f (x) = 4 x - 5 x^{\frac{3}{4}}$
6845	Find the Derivative - d/d@VAR	f(x)=5e^(3x^2)	$f (x) = 5 e^{3 x^{2}}$
6846	Find the Derivative - d/d@VAR	f(x)=5e^(3x^2-5x)	$f (x) = 5 e^{3 x^{2} - 5 x}$
6847	Find dy/dx	e^x-e^y=x-y	$e^{x} - e^{y} = x - y$
6848	Find the Derivative - d/d@VAR	f(x)=5e^x square root of x	$f (x) = 5 e^{x} \sqrt{x}$
6849	Evaluate	arcsin(-( square root of 2)/2)	$\arcsin (- \frac{\sqrt{2}}{2})$
6850	Find the Derivative - d/d@VAR	f(x) = square root of x^2+1	$f (x) = \sqrt{x^{2} + 1}$
6851	Find the Derivative - d/d@VAR	f(x)=-2x^2	$f (x) = - 2 x^{2}$
6852	Find the Derivative - d/d@VAR	f(x)=7x^2-3e^x	$f (x) = 7 x^{2} - 3 e^{x}$
6853	Find the Derivative - d/d@VAR	f(x)=7 natural log of x	$f (x) = 7 \ln (x)$
6854	Find the Derivative - d/d@VAR	f(x)=5 natural log of x^3	$f (x) = 5 \ln (x^{3})$
6855	Find the Derivative - d/d@VAR	f(x)=(3x+4)(4x-5)	$f (x) = (3 x + 4) (4 x - 5)$
6856	Find the Derivative - d/d@VAR	f(x)=5x natural log of x	$f (x) = 5 x \ln (x)$
6857	Find the Antiderivative	x/2	$\frac{x}{2}$
6858	Find the Derivative - d/d@VAR	f(x)=5xe^(-x)	$f (x) = 5 x e^{- x}$
6859	Evaluate the Limit	limit as x approaches 0 of ( square root of 25+x-5)/x	$lim_{x \to 0} \frac{\sqrt{25 + x} - 5}{x}$
6860	Find the Derivative - d/d@VAR	u(x)=(x^2)/6	$u (x) = \frac{x^{2}}{6}$
6861	Find the Derivative - d/d@VAR	f(x) = natural log of e^(x^2)+1	$f (x) = \ln (e^{x^{2}} + 1)$
6862	Find the Derivative - d/d@VAR	f(x) = natural log of x^4+27	$f (x) = \ln (x^{4} + 27)$
6863	Find the Derivative - d/dx	log base 5 of x	$\log_{5} (x)$
6864	Find the Derivative - d/d@VAR	f(x)=x^3+2x-1	$f (x) = x^{3} + 2 x - 1$
6865	Find the Derivative - d/d@VAR	f(x)=x^8(x-1)^7	$f (x) = x^{8} {(x - 1)}^{7}$
6866	Find the Derivative - d/d@VAR	f(x)=x^9 natural log of 4x	$f (x) = x^{9} \ln (4 x)$
6867	Find the Derivative - d/d@VAR	f(x)=x^3-9x	$f (x) = x^{3} - 9 x$
6868	Find the Derivative - d/d@VAR	f(z)=(4z^4+2z^2+1)(2z^3-z)	$f (z) = (4 z^{4} + 2 z^{2} + 1) (2 z^{3} - z)$
6869	Find the Derivative - d/d@VAR	f(x)=xe^(-2x^2)	$f (x) = x e^{- 2 x^{2}}$
6870	Find the Derivative - d/d@VAR	f(x)=xe^(-3x)	$f (x) = x e^{- 3 x}$
6871	Find the Derivative - d/d@VAR	f(x)=-10x	$f (x) = - 10 x$
6872	Find the Derivative - d/d@VAR	f(x)=x^(1/3)(x+4)	$f (x) = x^{\frac{1}{3}} (x + 4)$
6873	Find the Derivative - d/dx	square root of 5-x	$\sqrt{5 - x}$
6874	Find the Derivative - d/d@VAR	u(x)=(x^2)/7	$u (x) = \frac{x^{2}}{7}$
6875	Find the Derivative - d/d@VAR	f(x)=(6x-2)^(1/2)	$f (x) = {(6 x - 2)}^{\frac{1}{2}}$
6876	Find the Derivative - d/d@VAR	f(x) = square root of xe^x	$f (x) = \sqrt{x} e^{x}$
6877	Find the Derivative - d/d@VAR	f(x)=2/( cube root of x)+3cos(x)	$f (x) = \frac{2}{\sqrt[3]{x}} + 3 \cos (x)$
6878	Find the Derivative - d/d@VAR	v(r)=k(R^2-r^2)	$v (r) = k (R^{2} - r^{2})$
6879	Find the Derivative - d/d@VAR	f(x)=(sec(x))/(2-cos(x))	$f (x) = \frac{\sec (x)}{2 - \cos (x)}$
6880	Find the Derivative - d/d@VAR	f(x)=1/( square root of x^19)	$f (x) = \frac{1}{\sqrt{x^{19}}}$
6881	Find the Derivative - d/d@VAR	f(x) = square root of 3-4x	$f (x) = \sqrt{3 - 4 x}$
6882	Find the Derivative - d/d@VAR	f(x) = square root of 10x	$f (x) = \sqrt{10 x}$
6883	Find the Derivative - d/d@VAR	f(x)=tan(x)^3	$f (x) = \tan^{3} (x)$
6884	Find the Derivative - d/d@VAR	R(a)=(6a+1)^2	$R (a) = {(6 a + 1)}^{2}$
6885	Find the Derivative - d/d@VAR	f(x)=x^3cos(x)	$f (x) = x^{3} \cos (x)$
6886	Find the Derivative - d/d@VAR	f(x) = square root of x^2+32	$f (x) = \sqrt{x^{2} + 32}$
6887	Find the Derivative - d/d@VAR	s(t)=(70t^2)/(t^2+150)	$s (t) = \frac{70 t^{2}}{t^{2} + 150}$
6888	Find the Derivative - d/d@VAR	r(x)=4-x^2	$r (x) = 4 - x^{2}$
6889	Find the Derivative - d/d@VAR	s(p) = square root of p-p	$s (p) = \sqrt{p} - p$
6890	Find the Derivative - d/d@VAR	p(x) = natural log of -x^3+3x^2+72x+1	$p (x) = \ln (- x^{3} + 3 x^{2} + 72 x + 1)$
6891	Find the Derivative - d/d@VAR	h(x)=(3x^2-2e^x)/(5x)	$h (x) = \frac{3 x^{2} - 2 e^{x}}{5 x}$
6892	Find the Derivative - d/d@VAR	h(x)=sin(x)^2+cos(x)	$h (x) = \sin^{2} (x) + \cos (x)$
6893	Find the Derivative - d/d@VAR	f(x)=1/(x-4)	$f (x) = \frac{1}{x - 4}$
6894	Find the Derivative - d/d@VAR	g(x) = cube root of x^5+6x	$g (x) = \sqrt[3]{x^{5} + 6 x}$
6895	Find the Derivative - d/d@VAR	v(r)=4/3pir^3	$v (r) = \frac{4}{3} π r^{3}$
6896	Find the Derivative - d/d@VAR	f(x)=sin(x)csc(x)	$f (x) = \sin (x) \csc (x)$
6897	Find the Derivative - d/d@VAR	f(x)=sin(x) natural log of 5x	$f (x) = \sin (x) \ln (5 x)$
6898	Find the Derivative - d/d@VAR	f(x)=x^7cos(x)	$f (x) = x^{7} \cos (x)$
6899	Find the Derivative - d/d@VAR	f(x)=x^2+7	$f (x) = x^{2} + 7$
6900	Find the Derivative - d/d@VAR	f(x)=sin(x^4-2x)	$f (x) = \sin (x^{4} - 2 x)$