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

The derivative of sex^2(x) is 3esx^2

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

The first derivative of sex^2(x) is 3esx^2

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\frac{d}{d x} (se x^{2} (x))

3 es x^{2}

Solution steps

\frac{d}{d x} (se x^{2} (x))

Simplify

se x^{2} (x) : es x^{3}

= \frac{d}{d x} (es x^{3})

Take the constant out:

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

= es \frac{d}{d x} (x^{3})

Apply the Power Rule:

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

= es \cdot 3 x^{3 - 1}

Simplify

= 3 es x^{2}

What is the derivative of sex^2(x) ?
The derivative of sex^2(x) is 3esx^2
What is the first derivative of sex^2(x) ?
The first derivative of sex^2(x) is 3esx^2