What is the derivative of ({f}(x)^n) ?

The derivative of ({f}(x)^n) is n{f}(x)^{n-1} derivative of {f}(x)

What is the first derivative of ({f}(x)^n) ?

The first derivative of ({f}(x)^n) is n{f}(x)^{n-1} derivative of {f}(x)

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\frac{d}{d x} ((f (x))^{n})

n f (x)^{n - 1} \frac{d}{d x} (f (x))

Solution steps

\frac{d}{d x} ((f (x))^{n})

Apply the chain rule:

n f (x)^{n - 1} \frac{d}{d x} (f (x))

= n f (x)^{n - 1} \frac{d}{d x} (f (x))

\int e^{- 18 x} d x

\frac{\partial}{\partial t} (s - t)

f (x) = - 8 x^{3} + 24 x + 9

\frac{d}{d x} ((9 x^{6} + 2 x^{3})^{4})

x - 5

What is the derivative of ({f}(x)^n) ?
The derivative of ({f}(x)^n) is n{f}(x)^{n-1} derivative of {f}(x)
What is the first derivative of ({f}(x)^n) ?
The first derivative of ({f}(x)^n) is n{f}(x)^{n-1} derivative of {f}(x)