What is the derivative of f(x)=ln(x^8) ?

The derivative of f(x)=ln(x^8) is 8/x

What is the first derivative of f(x)=ln(x^8) ?

The first derivative of f(x)=ln(x^8) is 8/x

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derivative of

f (x) = ln (x^{8})

\frac{8}{x}

Solution steps

\frac{d}{d x} (ln (x^{8}))

Apply the chain rule:

\frac{1}{x ^{8}} \frac{d}{d x} (x^{8})

= \frac{1}{x ^{8}} \frac{d}{d x} (x^{8})

\frac{d}{d x} (x^{8}) = 8 x^{7}

= \frac{1}{x ^{8}} \cdot 8 x^{7}

Simplify

\frac{1}{x ^{8}} \cdot 8 x^{7} : \frac{8}{x}

= \frac{8}{x}

\frac{d}{d y} (arctan (x y))

\int - 15 d x

\frac{d}{d x} (x cos (t))

\int \frac{1}{e ^{z}} d z

T \to 9 0^{\circ} lim (f (T))

What is the derivative of f(x)=ln(x^8) ?
The derivative of f(x)=ln(x^8) is 8/x
What is the first derivative of f(x)=ln(x^8) ?
The first derivative of f(x)=ln(x^8) is 8/x