What is the derivative of f(f(x)) ?

The derivative of f(f(x)) is 2fx

What is the first derivative of f(f(x)) ?

The first derivative of f(f(x)) is 2fx

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derivative of

f (f (x))

2 f x

Solution steps

\frac{d}{df} (ff x)

Simplify

ff x : f^{2} x

= \frac{d}{df} (f^{2} x)

Treat

x

as a constant

Take the constant out:

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

= x \frac{d}{df} (f^{2})

Apply the Power Rule:

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

= x \cdot 2 f^{2 - 1}

Simplify

= 2 f x

\int sec (x) tan (x) + sec^{2} (x) d x

{5 - e^{2 t} + 6 t^{2}}

\int cos^{2} (x) sin^{2} (4 x) d x

\frac{d y}{d x} = x e^{y}, y (0) = 0

\int \frac{x ^{5} - x ^{3} + 1}{x ^{3} - x ^{2} - x + 1} d x

What is the derivative of f(f(x)) ?
The derivative of f(f(x)) is 2fx
What is the first derivative of f(f(x)) ?
The first derivative of f(f(x)) is 2fx