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}

l a pl a ce t r an s f or m 3 sin (3 t)

2 x^{2} y y^{^{'}} + 2 x y^{2} + 1 = 0

\frac{d}{d x} (3 ln (x + 1))

\frac{d}{d x} (35 x ln (13 x))

\frac{d}{d x} (6 x^{5} - 20 x^{4} + 20 x^{3} - 10 x + 4)

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