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Popular >

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

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Popular Examples

integral of (1-sin^3(x))/(sin^2(x))

\int \frac{1 - sin ^{3} ( x )}{sin ^{2} ( x )} d x

derivative of (2x^2-3x+1/x)

\frac{d}{d x} (\frac{2 x ^{2} - 3 x + 1}{x})

slope of x^2+xy+2y^2=28,(2,3)slope

x^{2} + x y + 2 y^{2} = 28, (2, 3)

t^2y^{''}+7ty^'+10y=0

t^{2} y^{^{''}} + 7 t y^{^{'}} + 10 y = 0

integral of tan(4x)sec^5(4x)

\int tan (4 x) sec^{5} (4 x) d x

Frequently Asked Questions (FAQ)

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