What is the derivative of [f(x)]^2 ?

The derivative of [f(x)]^2 is 2fx^2

What is the first derivative of [f(x)]^2 ?

The first derivative of [f(x)]^2 is 2fx^2

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derivative of

[f (x)]^{2}

2 f x^{2}

Solution steps

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

Simplify

(f x)^{2} : f^{2} x^{2}

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 2 f x^{2}

x tan (3 x^{2} + 4 x + 1)

tan (2 x) + sec (3 x)

x^{2} (x + 1)

\frac{( 1 - x ) ^{2}}{x ^{2}}

(arcsin (x))^{2}

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