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Popular >

derivative of sqrt(1+xln(2))

Solution

\frac{d}{d x} (1 + x ln (2))

Solution

\frac{ln ( 2 )}{2 1 + ln ( 2 ) x}

Solution steps

\frac{d}{d x} (1 + x ln (2))

Apply the chain rule:

\frac{1}{2 1 + x ln ( 2 )} \frac{d}{d x} (1 + x ln (2))

= \frac{1}{2 1 + x ln ( 2 )} \frac{d}{d x} (1 + x ln (2))

\frac{d}{d x} (1 + x ln (2)) = ln (2)

= \frac{1}{2 1 + x ln ( 2 )} ln (2)

Simplify

\frac{1}{2 1 + x ln ( 2 )} ln (2) : \frac{ln ( 2 )}{2 1 + ln ( 2 ) x}

= \frac{ln ( 2 )}{2 1 + ln ( 2 ) x}

Popular Examples

integral from 1 to 4 of (x-1)

\int_{1}^{4} (x - 1) d x

limit as x approaches c of f(x)g(x)

x \to c lim (f (x) g (x))

integral from 0 to 1 of 6/(1+x^2)

\int_{0}^{1} \frac{6}{1 + x ^{2}} d x

tangent of f(x)=3cot^4(x),\at x= pi/4 tangent of

f (x) = 3 cot^{4} (x), at x = \frac{π}{4}

integral of 3/(x^2sqrt(x^2+9))

\int \frac{3}{x ^{2} x ^{2} + 9} d x

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(1+xln(2)) ?
The derivative of sqrt(1+xln(2)) is (ln(2))/(2sqrt(1+ln(2)x))
What is the first derivative of sqrt(1+xln(2)) ?
The first derivative of sqrt(1+xln(2)) is (ln(2))/(2sqrt(1+ln(2)x))