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Popular >

derivative of-1/(ln(10x^2))

Solution

\frac{d}{d x} (- \frac{1}{ln ( 10 ) x ^{2}})

Solution

\frac{2}{ln ( 10 ) x ^{3}}

Solution steps

\frac{d}{d x} (- \frac{1}{ln ( 10 ) x ^{2}})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - \frac{1}{ln ( 10 )} \frac{d}{d x} (\frac{1}{x ^{2}})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= - \frac{1}{ln ( 10 )} \frac{d}{d x} (x^{- 2})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= - \frac{1}{ln ( 10 )} (- 2 x^{- 2 - 1})

Simplify

- \frac{1}{ln ( 10 )} (- 2 x^{- 2 - 1}) : \frac{2}{ln ( 10 ) x ^{3}}

= \frac{2}{ln ( 10 ) x ^{3}}

Popular Examples

(x-2)e^{(-2y)}=(dy)/(dx)

(x - 2) e^{(- 2 y)} = \frac{d y}{d x}

derivative of f(x)=sin(arcsin(6x))derivative of

f (x) = sin (arcsin (6 x))

integral of 1/(\frac{16x^2){3}-25}

\int \frac{1}{\frac{16 x ^{2}}{3} - 25} d x

f (x) = - 3 sin (x)

integral from 0 to 3 of (x^3-6x)

\int_{0}^{3} (x^{3} - 6 x) d x

Frequently Asked Questions (FAQ)

What is the derivative of-1/(ln(10x^2)) ?
The derivative of-1/(ln(10x^2)) is 2/(ln(10)x^3)
What is the first derivative of-1/(ln(10x^2)) ?
The first derivative of-1/(ln(10x^2)) is 2/(ln(10)x^3)