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Popular >

derivative of ln(ln(2x^4))

Solution

\frac{d}{d x} (ln (ln (2 x^{4})))

Solution

\frac{4}{x ln ( 2 x ^{4} )}

Solution steps

\frac{d}{d x} (ln (ln (2 x^{4})))

Apply the chain rule:

\frac{1}{ln ( 2 x ^{4} )} \frac{d}{d x} (ln (2 x^{4}))

= \frac{1}{ln ( 2 x ^{4} )} \frac{d}{d x} (ln (2 x^{4}))

\frac{d}{d x} (ln (2 x^{4})) = \frac{4}{x}

= \frac{1}{ln ( 2 x ^{4} )} \cdot \frac{4}{x}

Simplify

\frac{1}{ln ( 2 x ^{4} )} \cdot \frac{4}{x} : \frac{4}{x ln ( 2 x ^{4} )}

= \frac{4}{x ln ( 2 x ^{4} )}

Popular Examples

integral of (4x)/(x^4-12x^2+45)

\int \frac{4 x}{x ^{4} - 12 x ^{2} + 45} d x

tangent of f(x)=4x^2,\at x=1 tangent of

f (x) = 4 x^{2}, at x = 1

(\partial)/(\partial x)(x^{9y})

\frac{\partial}{\partial x} (x^{9 y})

(\partial)/(\partial u)(u*cos(v))

\frac{\partial}{\partial u} (u \cdot cos (v))

derivative of f(x)=arccos(x)derivative of

f (x) = arccos (x)

Frequently Asked Questions (FAQ)

What is the derivative of ln(ln(2x^4)) ?
The derivative of ln(ln(2x^4)) is 4/(xln(2x^4))
What is the first derivative of ln(ln(2x^4)) ?
The first derivative of ln(ln(2x^4)) is 4/(xln(2x^4))