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

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

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

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

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derivative of

f (x^{2})

x^{2}

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

= x^{2} \frac{df}{df}

Apply the common derivative:

\frac{df}{df} = 1

= x^{2} \cdot 1

Simplify

= x^{2}

\frac{\partial}{\partial x} (\frac{1}{e ^{x}})

9 x - 4 y x^{2} + 1 \frac{d y}{d x} = 0

\frac{6}{( 4 x + 1 )}

e^{- x}, 0, 1