Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
40701	Find the Derivative - d/d@VAR	f(x) = natural log of x^14	$f (x) = \ln (x^{14})$
40702	Find the Derivative - d/d@VAR	f(x) = natural log of x^16	$f (x) = \ln (x^{16})$
40703	Find the Derivative - d/d@VAR	f(x) = natural log of square root of 7+cos(x)^2	$f (x) = \ln (\sqrt{7 + \cos^{2} (x)})$
40704	Find the Derivative - d/d@VAR	f(x) = natural log of square root of 8x^3-3x	$f (x) = \ln (\sqrt{8 x^{3} - 3 x})$
40705	Find the Derivative - d/d@VAR	f(x) = natural log of x^2+e^(3x)	$f (x) = \ln (x^{2} + e^{3 x})$
40706	Find the Derivative - d/d@VAR	f(x) = natural log of cube root of x^2+5x+1	$f (x) = \ln (\sqrt[3]{x^{2} + 5 x + 1})$
40707	Find the Derivative - d/d@VAR	f(x) = natural log of cube root of (x-1)/(x+1)	$f (x) = \ln (\sqrt[3]{\frac{x - 1}{x + 1}})$
40708	Find the Derivative - d/d@VAR	f(x) = natural log of cube root of 9x^5+11	$f (x) = \ln (\sqrt[3]{9 x^{5} + 11})$
40709	Find the Derivative - d/d@VAR	f(x) = natural log of cube root of x	$f (x) = \ln (\sqrt[3]{x})$
40710	Find the Derivative - d/d@VAR	f(x) = natural log of fifth root of x	$f (x) = \ln (\sqrt[5]{x})$
40711	Find the Derivative - d/d@VAR	f(x) = natural log of sixth root of x	$f (x) = \ln (\sqrt[6]{x})$
40712	Find the Derivative - d/d@VAR	f(x) = natural log of square root of (4x+4)/(7x-4)	$f (x) = \ln (\sqrt{\frac{4 x + 4}{7 x - 4}})$
40713	Find the Derivative - d/d@VAR	f(x) = natural log of square root of 1-x^2	$f (x) = \ln (\sqrt{1 - x^{2}})$
40714	Find the Derivative - d/d@VAR	f(x) = natural log of square root of 1+sin(x)^2	$f (x) = \ln (\sqrt{1 + \sin^{2} (x)})$
40715	Find the Derivative - d/d@VAR	f(x) = natural log of square root of 2x	$f (x) = \ln (\sqrt{2} x)$
40716	Find the Derivative - d/d@VAR	f(x) = natural log of square root of 2x+3	$f (x) = \ln (\sqrt{2 x + 3})$
40717	Find the Derivative - d/d@VAR	f(x) = natural log of square root of (6x-2)(7x+4)	$f (x) = \ln (\sqrt{(6 x - 2) (7 x + 4)})$
40718	Find the Derivative - d/d@VAR	f(x) = natural log of square root of ((x-1)^3)/(x+1)	$f (x) = \ln (\sqrt{\frac{{(x - 1)}^{3}}{x + 1}})$
40719	Find the Derivative - d/d@VAR	f(x) = natural log of ( square root of x+5)/((2x^2-4x+1)^4)	$f (x) = \ln (\frac{\sqrt{x + 5}}{{(2 x^{2} - 4 x + 1)}^{4}})$
40720	Find the Derivative - d/d@VAR	f(x) = natural log of (x^2)/(3x-1)	$f (x) = \ln (\frac{x^{2}}{3 x - 1})$
40721	Find the Derivative - d/d@VAR	f(x) = natural log of (x^2)/4	$f (x) = \ln (\frac{x^{2}}{4})$
40722	Find the Derivative - d/d@VAR	f(x) = natural log of (x^2)/(4x-3)	$f (x) = \ln (\frac{x^{2}}{4 x - 3})$
40723	Find the Derivative - d/d@VAR	f(x) = natural log of (x^2-8)/x	$f (x) = \ln (\frac{x^{2} - 8}{x})$
40724	Find the Derivative - d/d@VAR	f(x) = natural log of (x^3-7)/( cube root of x)	$f (x) = \ln (\frac{x^{3} - 7}{\sqrt[3]{x}})$
40725	Find the Derivative - d/d@VAR	f(x) = natural log of (x^4)/3	$f (x) = \ln (\frac{x^{4}}{3})$
40726	Find the Derivative - d/d@VAR	f(x) = natural log of (x^4)/9	$f (x) = \ln (\frac{x^{4}}{9})$
40727	Find the Derivative - d/d@VAR	f(x) = natural log of (x^4-4)/x	$f (x) = \ln (\frac{x^{4} - 4}{x})$
40728	Find the Derivative - d/d@VAR	f(x) = natural log of (x^5-8)/x	$f (x) = \ln (\frac{x^{5} - 8}{x})$
40729	Find the Derivative - d/d@VAR	f(x) = natural log of (x^7)/9	$f (x) = \ln (\frac{x^{7}}{9})$
40730	Find the Derivative - d/d@VAR	f(x) = natural log of (x^8)/8	$f (x) = \ln (\frac{x^{8}}{8})$
40731	Find the Derivative - d/d@VAR	f(x) = natural log of \|x^2-x\|	$f (x) = \ln (\| x^{2} - x \|)$
40732	Find the Derivative - d/d@VAR	f(x) = natural log of \| natural log of 2x\|	$f (x) = \ln (\| \ln (2 x) \|)$
40733	Find the Derivative - d/d@VAR	f(x)=e(-(x^2)/2)	$f (x) = e (- \frac{x^{2}}{2})$
40734	Find the Derivative - d/d@VAR	f(x)=ev-x : x	$f (x) = e v - x : x$
40735	Find the Derivative - d/d@VAR	f(x)=csc(x)-sin(x)	$f (x) = \csc (x) - \sin (x)$
40736	Find the Derivative - d/d@VAR	f(x)=csc(x)tan(x)	$f (x) = \csc (x) \tan (x)$
40737	Find the Derivative - d/d@VAR	f(x)=D(m log of (x(1/D)-xCB)/c-xB+b)	$f (x) = D \cdot (m \cdot \log (\frac{x \cdot (\frac{1}{D}) - x \cdot C \cdot B}{c}) - x \cdot B + b)$
40738	Find the Derivative - d/d@VAR	f(x)=D(m log of (x(1/D-CA))/c-x*A+b)	$f (x) = D \cdot (m \cdot \log (\frac{x \cdot (\frac{1}{D} - C \cdot A)}{c}) - x \cdot A + b)$
40739	Find the Derivative - d/d@VAR	f(x)=D(m log of (x(B-AC))/c-x*A+b)	$f (x) = D \cdot (m \cdot \log (\frac{x \cdot (B - A \cdot C)}{c}) - x \cdot A + b)$
40740	Find the Derivative - d/d@VAR	f(x) = natural log of 1/(x^4)	$f (x) = \ln (\frac{1}{x^{4}})$
40741	Find the Derivative - d/d@VAR	f(x) = natural log of 1/2x	$f (x) = \ln (\frac{1}{2} x)$
40742	Find the Derivative - d/d@VAR	f(x) = natural log of 1/(5x)	$f (x) = \ln (\frac{1}{5 x})$
40743	Find the Derivative - d/d@VAR	f(x) = natural log of (16x-9)/(11x+3)	$f (x) = \ln (\frac{16 x - 9}{11 x + 3})$
40744	Find the Derivative - d/d@VAR	f(x) = natural log of (1-x)/(1+x)	$f (x) = \ln (\frac{1 - x}{1 + x})$
40745	Find the Derivative - d/d@VAR	f(x) = natural log of (3x+1)/(4x-2)	$f (x) = \ln (\frac{3 x + 1}{4 x - 2})$
40746	Find the Derivative - d/d@VAR	f(x) = natural log of (5x)/25	$f (x) = \ln (\frac{5 x}{25})$
40747	Find the Derivative - d/d@VAR	f(x) = natural log of (6x)/(x+1)	$f (x) = \ln (\frac{6 x}{x + 1})$
40748	Find the Derivative - d/d@VAR	f(x) = natural log of (7x+1)/(4x-2)	$f (x) = \ln (\frac{7 x + 1}{4 x - 2})$
40749	Find the Derivative - d/d@VAR	f(x) = natural log of cos(x)^2	$f (x) = \ln (\cos^{2} (x))$
40750	Find the Derivative - d/d@VAR	f(x) = natural log of e/(x^n)	$f (x) = \ln (\frac{e}{x^{n}})$
40751	Find the Derivative - d/d@VAR	f(x) = natural log of e^(x^2-7x+5)	$f (x) = \ln (e^{x^{2} - 7 x + 5})$
40752	Find the Derivative - d/d@VAR	f(x) = natural log of e^(x^3)+6 natural log of x-1	$f (x) = \ln (e^{x^{3}}) + 6 \ln (x - 1)$
40753	Find the Derivative - d/d@VAR	f(x) = natural log of e^(12x)+1	$f (x) = \ln (e^{12 x} + 1)$
40754	Find the Derivative - d/d@VAR	f(x) = natural log of e^x-1	$f (x) = \ln (e^{x} - 1)$
40755	Find the Derivative - d/d@VAR	f(x) = natural log of e^x-13x	$f (x) = \ln (e^{x} - 13 x)$
40756	Find the Derivative - d/d@VAR	f(x) = natural log of e^x-3x	$f (x) = \ln (e^{x} - 3 x)$
40757	Find the Derivative - d/d@VAR	f(x) = natural log of e^x-8x	$f (x) = \ln (e^{x} - 8 x)$
40758	Find the Derivative - d/d@VAR	f(x) = natural log of sec(x)^4*tan(x)^2	$f (x) = \ln (\sec^{4} (x) \cdot \tan^{2} (x))$
40759	Find the Derivative - d/d@VAR	f(x) = natural log of e^(2x)+6	$f (x) = \ln (e^{2 x} + 6)$
40760	Find the Derivative - d/d@VAR	f(x) = natural log of e^(3x)+x natural log of e^2-10 natural log of e	$f (x) = \ln (e^{3 x}) + x \ln (e^{2}) - 10 \ln (e)$
40761	Find the Derivative - d/d@VAR	f(x) = natural log of e^(3x)+4	$f (x) = \ln (e^{3 x} + 4)$
40762	Find the Derivative - d/d@VAR	f(x) = natural log of e^(4*8)	$f (x) = \ln (e^{4 \cdot 8})$
40763	Find the Derivative - d/d@VAR	f(x) = natural log of e^p	$f (x) = \ln (e^{p})$
40764	Find the Derivative - d/d@VAR	f(x) = natural log of x^4-4e^x+3x^2	$f (x) = \ln (x^{4}) - 4 e^{x} + 3 x^{2}$
40765	Find the Derivative - d/d@VAR	f(x) = natural log of x^4 square root of 1+x^2	$f (x) = \ln (x^{4} \sqrt{1 + x^{2}})$
40766	Find the Derivative - d/d@VAR	f(x) = natural log of x^4-3x^2+10	$f (x) = \ln (x^{4} - 3 x^{2} + 10)$
40767	Find the Derivative - d/d@VAR	f(x) = natural log of -x^3+6x^2+135x+1	$f (x) = \ln (- x^{3} + 6 x^{2} + 135 x + 1)$
40768	Find the Derivative - d/d@VAR	f(x) = natural log of x^3+8	$f (x) = \ln (x^{3} + 8)$
40769	Find the Derivative - d/d@VAR	f(x) = natural log of x^3-64	$f (x) = \ln (x^{3} - 64)$
40770	Find the Derivative - d/d@VAR	f(x) = natural log of x^3-7x^2-3	$f (x) = \ln (x^{3} - 7 x^{2} - 3)$
40771	Find the Derivative - d/d@VAR	f(x) = natural log of x^4(cos(x)+sin(x))	$f (x) = \ln (x^{4} (\cos (x) + \sin (x)))$
40772	Find the Derivative - d/d@VAR	f(x) = natural log of x^2+10	$f (x) = \ln (x^{2} + 10)$
40773	Find the Derivative - d/d@VAR	f(x) = natural log of 1+e^(2x)	$f (x) = \ln (1 + e^{2 x})$
40774	Find the Derivative - d/d@VAR	f(x) = natural log of xe^( square root of x)+4	$f (x) = \ln (x e^{\sqrt{x}} + 4)$
40775	Find the Derivative - d/d@VAR	f(x) = natural log of xe^x	$f (x) = \ln (x e^{x})$
40776	Find the Derivative - d/d@VAR	f(x) = natural log of 0.01	$f (x) = \ln (0.01)$
40777	Find the Derivative - d/d@VAR	f(x) = natural log of 0.01x	$f (x) = \ln (0.01 x)$
40778	Find the Derivative - d/d@VAR	f(x) = natural log of 2x^3-13x+9	$f (x) = \ln (2 x^{3} - 13 x + 9)$
40779	Find the Derivative - d/d@VAR	f(x) = natural log of 2x^3-5x+1	$f (x) = \ln (2 x^{3} - 5 x + 1)$
40780	Find the Derivative - d/d@VAR	f(x) = natural log of 2x^5+x^3-x	$f (x) = \ln (2 x^{5} + x^{3} - x)$
40781	Find the Derivative - d/d@VAR	f(x) = natural log of 2 natural log of x+ natural log of tan(5x)	$f (x) = \ln (2 \ln (x) + \ln (\tan (5 x)))$
40782	Find the Derivative - d/d@VAR	f(x) = natural log of 2x^2+4	$f (x) = \ln (2 x^{2} + 4)$
40783	Find the Derivative - d/d@VAR	f(x) = natural log of 2x^2-x+3x	$f (x) = \ln (2 x^{2} - x) + 3 x$
40784	Find the Derivative - d/d@VAR	f(x) = natural log of 2e^(-x)-1	$f (x) = \ln (2 e^{- x} - 1)$
40785	Find the Derivative - d/d@VAR	f(x) = natural log of 2(1)	$f (x) = \ln (2 (1))$
40786	Find the Derivative - d/d@VAR	f(x) = natural log of 10x+8x^2	$f (x) = \ln (10 x + 8 x^{2})$
40787	Find the Derivative - d/d@VAR	f(x) = natural log of 19	$f (x) = \ln (19)$
40788	Find the Derivative - d/d@VAR	f(x) = natural log of 1-sin(x^2)	$f (x) = \ln (1 - \sin (x^{2}))$
40789	Find the Derivative - d/d@VAR	f(x) = natural log of 1+3x	$f (x) = \ln (1 + 3 x)$
40790	Find the Derivative - d/d@VAR	f(x) = natural log of 10+e^(5x)	$f (x) = \ln (10 + e^{5 x})$
40791	Find the Derivative - d/d@VAR	F(x) = natural log of 10000000x	$F (x) = \ln (10000000 x)$
40792	Find the Derivative - d/d@VAR	f(x) = natural log of 13x	$f (x) = \ln (13 x)$
40793	Find the Derivative - d/d@VAR	f(x) = natural log of 13x-2	$f (x) = \ln (13 x - 2)$
40794	Find the Derivative - d/d@VAR	f(x) = natural log of 13x-3	$f (x) = \ln (13 x - 3)$
40795	Find the Derivative - d/d@VAR	f(x) = natural log of natural log of 4x+3	$f (x) = \ln (\ln (4 x + 3))$
40796	Find the Derivative - d/d@VAR	f(x) = natural log of natural log of 5x	$f (x) = \ln (\ln (5 x))$
40797	Find the Derivative - d/d@VAR	f(x) = natural log of natural log of 6s	$f (x) = \ln (\ln (6 s))$
40798	Find the Derivative - d/d@VAR	f(x) = natural log of natural log of natural log of x+1	$f (x) = \ln (\ln (\ln (x + 1)))$
40799	Find the Derivative - d/d@VAR	f(x) = natural log of natural log of s	$f (x) = \ln (\ln (s))$
40800	Find the Derivative - d/d@VAR	f(x) = natural log of natural log of sec(2x)	$f (x) = \ln (\ln (\sec (2 x)))$