Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
12101	Find the Derivative - d/d@VAR	f(x)=-13/(x^6)	$f (x) = - \frac{13}{x^{6}}$
12102	Find the Derivative - d/d@VAR	f(x)=-2/x	$f (x) = - \frac{2}{x}$
12103	Find the Derivative - d/d@VAR	f(x)=(10 log base 4 of x)/x	$f (x) = \frac{10 \log_{4} (x)}{x}$
12104	Find the Derivative - d/d@VAR	f(x)=(2x)/(1-x)	$f (x) = \frac{2 x}{1 - x}$
12105	Find the Derivative - d/d@VAR	f(x)=-1/2+7/5x^3	$f (x) = - \frac{1}{2} + \frac{7}{5} x^{3}$
12106	Find the Derivative - d/d@VAR	f(x)=1/(2x)	$f (x) = \frac{1}{2 x}$
12107	Find the Derivative - d/d@VAR	f(x)=1/3	$f (x) = \frac{1}{3}$
12108	Find the Derivative - d/d@VAR	f(x)=1/3x^3	$f (x) = \frac{1}{3} x^{3}$
12109	Find the Derivative - d/d@VAR	f(x)=1/4*(t^4+8)	$f (x) = \frac{1}{4} \cdot (t^{4} + 8)$
12110	Find the Derivative - d/d@VAR	f(x)=1/4x^5	$f (x) = \frac{1}{4} x^{5}$
12111	Find the Derivative - d/d@VAR	f(x)=10/(x^2)	$f (x) = \frac{10}{x^{2}}$
12112	Find the Derivative - d/d@VAR	f(x)=10^x	$f (x) = 10^{x}$
12113	Find the Derivative - d/d@VAR	f(x)=(10t)/(1+t^2)	$f (x) = \frac{10 t}{1 + t^{2}}$
12114	Find the Derivative - d/d@VAR	f(x)=1/(sec(1/x))	$f (x) = \frac{1}{\sec (\frac{1}{x})}$
12115	Find the Derivative - d/d@VAR	f(x)=1/(3s^2)-5/(2s)	$f (x) = \frac{1}{3 s^{2}} - \frac{5}{2 s}$
12116	Find the Derivative - d/d@VAR	f(x)=1/8	$f (x) = \frac{1}{8}$
12117	Find the Derivative - d/d@VAR	f(x)=1/(x+3)	$f (x) = \frac{1}{x + 3}$
12118	Find the Derivative - d/d@VAR	f(x)=1/(x natural log of x)	$f (x) = \frac{1}{x \ln (x)}$
12119	Find the Derivative - d/d@VAR	f(x)=6/x-2	$f (x) = \frac{6}{x} - 2$
12120	Find the Derivative - d/d@VAR	f(x)=5/(x+7)	$f (x) = \frac{5}{x + 7}$
12121	Find the Derivative - d/d@VAR	f(x)=5/(x-1)	$f (x) = \frac{5}{x - 1}$
12122	Find the Derivative - d/d@VAR	f(x)=(6x^3-7x^2)/( cube root of x^4)	$f (x) = \frac{6 x^{3} - 7 x^{2}}{\sqrt[3]{x^{4}}}$
12123	Find the Derivative - d/d@VAR	f(x)=5/((2x-3)^4)	$f (x) = \frac{5}{{(2 x - 3)}^{4}}$
12124	Find the Derivative - d/d@VAR	f(x)=5/(x^3)	$f (x) = \frac{5}{x^{3}}$
12125	Find the Derivative - d/d@VAR	f(x)=4^(e-7x)	$f (x) = 4^{e - 7 x}$
12126	Find the Derivative - d/d@VAR	f(x)=4^(sin(x))	$f (x) = 4^{\sin (x)}$
12127	Find the Derivative - d/d@VAR	f(x)=(3x)/((2-5x)^5)	$f (x) = \frac{3 x}{{(2 - 5 x)}^{5}}$
12128	Find the Derivative - d/d@VAR	f(x)=(-5x^2-7x-7)/( square root of x)	$f (x) = \frac{- 5 x^{2} - 7 x - 7}{\sqrt{x}}$
12129	Find the Derivative - d/d@VAR	f(x)=(4x-1)/(x^2+1)	$f (x) = \frac{4 x - 1}{x^{2} + 1}$
12130	Find the Derivative - d/d@VAR	f(x)=4/3*(pr^3)	$f (x) = \frac{4}{3} \cdot (p r^{3})$
12131	Find the Derivative - d/d@VAR	f(x)=3/4x	$f (x) = \frac{3}{4} x$
12132	Find the Derivative - d/d@VAR	f(x)=(2x-1)/(x-7)	$f (x) = \frac{2 x - 1}{x - 7}$
12133	Find the Derivative - d/d@VAR	f(x)=(3x^2tan(x))/(sec(x))	$f (x) = \frac{3 x^{2} \tan (x)}{\sec (x)}$
12134	Find the Derivative - d/d@VAR	f(x)=-3/7	$f (x) = \frac{- 3}{7}$
12135	Find the Derivative - d/d@VAR	f(x)=3^(x^2)	$f (x) = 3^{x^{2}}$
12136	Find the Derivative - d/d@VAR	f(x)=(4x+3)^2 natural log of 4x+3	$f (x) = {(4 x + 3)}^{2} \ln (4 x + 3)$
12137	Find the Derivative - d/d@VAR	f(x)=(4x-5)^2	$f (x) = {(4 x - 5)}^{2}$
12138	Find the Derivative - d/d@VAR	f(x)=(5x+4)^2	$f (x) = {(5 x + 4)}^{2}$
12139	Find the Derivative - d/d@VAR	f(x)=(5x+6)^3	$f (x) = {(5 x + 6)}^{3}$
12140	Find the Derivative - d/d@VAR	f(x)=(5x-2)^4	$f (x) = {(5 x - 2)}^{4}$
12141	Find the Derivative - d/d@VAR	f(x)=(9x^2+7)^2	$f (x) = {(9 x^{2} + 7)}^{2}$
12142	Find the Derivative - d/d@VAR	f(x)=(5x-2)^-3	$f (x) = {(5 x - 2)}^{- 3}$
12143	Find the Derivative - d/d@VAR	f(x)=(8x-9)^-4	$f (x) = {(8 x - 9)}^{- 4}$
12144	Find the Derivative - d/d@VAR	f(x)=(9-x^2)^(3/5)	$f (x) = {(9 - x^{2})}^{\frac{3}{5}}$
12145	Find the Derivative - d/d@VAR	f(x)=( natural log of x)^6	$f (x) = \ln^{6} (x)$
12146	Find the Derivative - d/d@VAR	f(x)=(x+(x)^(1/2))^(1/2)	$f (x) = {(x + {(x)}^{\frac{1}{2}})}^{\frac{1}{2}}$
12147	Find the Derivative - d/d@VAR	f(x)=(x-2e^(-3x))^2	$f (x) = {(x - 2 e^{- 3 x})}^{2}$
12148	Find the Derivative - d/d@VAR	f(x)=(x-2 natural log of x)^4	$f (x) = {(x - 2 \ln (x))}^{4}$
12149	Find the Derivative - d/d@VAR	f(x)=(x-5)^(2/3)	$f (x) = {(x - 5)}^{\frac{2}{3}}$
12150	Find the Derivative - d/d@VAR	f(x)=(x+3)^4	$f (x) = {(x + 3)}^{4}$
12151	Find the Derivative - d/d@VAR	f(x)=((x+4)^12)/((3x-9)^11)	$f (x) = \frac{{(x + 4)}^{12}}{{(3 x - 9)}^{11}}$
12152	Find the Derivative - d/d@VAR	f(x)=(ax^2+b)/(cx^2+d)	$f (x) = \frac{a x^{2} + b}{c x^{2} + d}$
12153	Find the Derivative - d/d@VAR	f(x)=(e^(2x))/(sin(5x))	$f (x) = \frac{e^{2 x}}{\sin (5 x)}$
12154	Find the Derivative - d/d@VAR	F(x)=(e^(5x))/(x^10)	$F (x) = \frac{e^{5 x}}{x^{10}}$
12155	Find the Derivative - d/d@VAR	f(x)=(e^(4x))/(x^8)	$f (x) = \frac{e^{4 x}}{x^{8}}$
12156	Find the Derivative - d/d@VAR	F(X)=(e^X)/(X^5)	$F (X) = \frac{e^{X}}{X^{5}}$
12157	Find the Derivative - d/d@VAR	f(x)=(e^x)/(9x^2+1)	$f (x) = \frac{e^{x}}{9 x^{2} + 1}$
12158	Find the Derivative - d/d@VAR	f(x)=( square root of natural log of x)/x	$f (x) = \frac{\sqrt{\ln (x)}}{x}$
12159	Find the Derivative - d/d@VAR	f(x)=( square root of x-ex+e^2)/( log of x)	$f (x) = \frac{\sqrt{x} - e x + e^{2}}{\log (x)}$
12160	Find the Derivative - d/d@VAR	f(x)=(x^2)/(x^2-16)	$f (x) = \frac{x^{2}}{x^{2} - 16}$
12161	Find the Derivative - d/d@VAR	f(x)=( square root of x-1)/( square root of x+1)	$f (x) = \frac{\sqrt{x} - 1}{\sqrt{x} + 1}$
12162	Find the Derivative - d/d@VAR	f(x)=(x^2+11)/( square root of x)	$f (x) = \frac{x^{2} + 11}{\sqrt{x}}$
12163	Find the Derivative - d/d@VAR	f(x)=(x^2-4)/(x^2+4)	$f (x) = \frac{x^{2} - 4}{x^{2} + 4}$
12164	Find the Derivative - d/d@VAR	f(x)=(x^2-4)/(2x-6)	$f (x) = \frac{x^{2} - 4}{2 x - 6}$
12165	Find the Derivative - d/d@VAR	f(x)=(x^2-2x-3)/(x+2)	$f (x) = \frac{x^{2} - 2 x - 3}{x + 2}$
12166	Find the Derivative - d/d@VAR	f(x)=(x^2-6x)/(x+1)	$f (x) = \frac{x^{2} - 6 x}{x + 1}$
12167	Find the Derivative - d/d@VAR	f(x)=(x^3)/(e^(3x))	$f (x) = \frac{x^{3}}{e^{3 x}}$
12168	Find the Derivative - d/d@VAR	f(x)=(x^3)/3+(x^2)/2-2x+1	$f (x) = \frac{x^{3}}{3} + \frac{x^{2}}{2} - 2 x + 1$
12169	Find the Derivative - d/d@VAR	f(x)=(x^3-1)/(x^3+1)	$f (x) = \frac{x^{3} - 1}{x^{3} + 1}$
12170	Find the Derivative - d/d@VAR	f(x)=0.3e^(-0.8x)	$f (x) = 0.3 e^{- 0.8 x}$
12171	Find the Derivative - d/d@VAR	f(x)=1/((1+sec(x))^2)	$f (x) = \frac{1}{{(1 + \sec (x))}^{2}}$
12172	Find the Derivative - d/d@VAR	f(x)=1/(x^20)	$f (x) = \frac{1}{x^{20}}$
12173	Find the Derivative - d/d@VAR	f(x)=-1/( cube root of x)	$f (x) = - \frac{1}{\sqrt[3]{x}}$
12174	Find the Derivative - d/d@VAR	f(x)=1/(x^n)	$f (x) = \frac{1}{x^{n}}$
12175	Find the Derivative - d/d@VAR	f(x)=-1/10x^2	$f (x) = - \frac{1}{10} x^{2}$
12176	Find the Derivative - d/d@VAR	f(x)=1/12x^2-9 square root of x	$f (x) = \frac{1}{12} x^{2} - 9 \sqrt{x}$
12177	Find the Derivative - d/d@VAR	f(x)=\|x+3\|	$f (x) = \| x + 3 \|$
12178	Find the Derivative - d/d@VAR	f(x)=1/(csc(x)^5)	$f (x) = \frac{1}{\csc^{5} (x)}$
12179	Find the Derivative - d/d@VAR	f(x)=1/( square root of 2t-4)	$f (x) = \frac{1}{\sqrt{2 t - 4}}$
12180	Find the Derivative - d/d@VAR	f(x)=1/(e^x)	$f (x) = \frac{1}{e^{x}}$
12181	Find the Derivative - d/d@VAR	f(x) = natural log of (x^3+3x)^3	$f (x) = \ln ({(x^{3} + 3 x)}^{3})$
12182	Find the Derivative - d/d@VAR	c(t)=11t^2e^(-t)	$c (t) = 11 t^{2} e^{- t}$
12183	Find the Derivative - d/d@VAR	f(x)=9sin(x)^2-9cos(x)	$f (x) = 9 \sin^{2} (x) - 9 \cos (x)$
12184	Find the Derivative - d/d@VAR	C(x)=(5x+3)(7x+4)	$C (x) = (5 x + 3) (7 x + 4)$
12185	Find the Derivative - d/d@VAR	f(s)=(s^2+1)e^(-s^2)	$f (s) = (s^{2} + 1) e^{- s^{2}}$
12186	Find the Derivative - d/d@VAR	f(t)=(5t^3+t^2)(2t-4)	$f (t) = (5 t^{3} + t^{2}) (2 t - 4)$
12187	Find the Derivative - d/d@VAR	f(r)=4/3*(pr^3)	$f (r) = \frac{4}{3} \cdot (p r^{3})$
12188	Find the Derivative - d/d@VAR	f(t) = cube root of t^2-5(3t-5)^3	$f (t) = \sqrt[3]{t^{2} - 5} {(3 t - 5)}^{3}$
12189	Find the Derivative - d/d@VAR	f(x)=(sec(x))/(7+sec(x))	$f (x) = \frac{\sec (x)}{7 + \sec (x)}$
12190	Find the Derivative - d/d@VAR	f(x)=(sec(x))/(8+sec(x))	$f (x) = \frac{\sec (x)}{8 + \sec (x)}$
12191	Find the Derivative - d/d@VAR	f(t)=(t+5)^2e^(4t)	$f (t) = {(t + 5)}^{2} e^{4 t}$
12192	Find the Domain and Range	f(x)=x-36/(x^2)	$f (x) = x - \frac{36}{x^{2}}$
12193	Find the Domain and Range	f(x)=2cot(x+pi/2)	$f (x) = 2 \cot (x + \frac{π}{2})$
12194	Find the Derivative - d/d@VAR	c(x)=15000+30xe^(x/800)	$c (x) = 15000 + 30 x e^{\frac{x}{800}}$
12195	Find the Domain and Range	f(x)=(3x-9)/(5x+30)	$f (x) = \frac{3 x - 9}{5 x + 30}$
12196	Find the Domain and Range	f(x)=49/(x^2-49)	$f (x) = \frac{49}{x^{2} - 49}$
12197	Find the Domain and Range	f(x)=(12x)/(x^2-144)	$f (x) = \frac{12 x}{x^{2} - 144}$
12198	Find the Domain and Range	f(x)=10/(x^2+100)	$f (x) = \frac{10}{x^{2} + 100}$
12199	Find the Domain and Range	f(x)=(x^2-8)/(x+3)	$f (x) = \frac{x^{2} - 8}{x + 3}$
12200	Find the Domain and Range	f(x)=(1/6)^x	$f (x) = {(\frac{1}{6})}^{x}$