What is the derivative of ln(x^{10}) ?

The derivative of ln(x^{10}) is (10)/x

What is the first derivative of ln(x^{10}) ?

The first derivative of ln(x^{10}) is (10)/x

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derivative of

ln (x^{10})

\frac{10}{x}

Solution steps

\frac{d}{d x} (ln (x^{10}))

Apply the chain rule:

\frac{1}{x ^{10}} \frac{d}{d x} (x^{10})

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

\frac{d}{d x} (x^{10}) = 10 x^{9}

= \frac{1}{x ^{10}} \cdot 10 x^{9}

Simplify

\frac{1}{x ^{10}} \cdot 10 x^{9} : \frac{10}{x}

= \frac{10}{x}

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

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

\int - 2 cos (6 x) d x

f (x) = 8 x^{15} - 6 x^{3} + 1

\frac{d y}{d t} = y^{2} - y

What is the derivative of ln(x^{10}) ?
The derivative of ln(x^{10}) is (10)/x
What is the first derivative of ln(x^{10}) ?
The first derivative of ln(x^{10}) is (10)/x