What is the derivative of sex(x) ?

The derivative of sex(x) is 2esx

What is the first derivative of sex(x) ?

The first derivative of sex(x) is 2esx

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

2 es x

Solution steps

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

Simplify

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

= \frac{d}{d x} (es x^{2})

Take the constant out:

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

= es \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

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

Simplify

= 2 es x

\int u u d u

\frac{d}{d x} (5 e^{x} (cos (x) - x))

(\frac{x}{x + 1})^{^{'}}

\frac{\partial}{\partial x} (e^{x + 3 y})

\frac{3}{5} x^{\frac{5}{3}} - \frac{3}{4} x^{\frac{1}{3}} + 6