What is the derivative of 5x^e ?

The derivative of 5x^e is 5ex^{e-1}

What is the first derivative of 5x^e ?

The first derivative of 5x^e is 5ex^{e-1}

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

5 e x^{e - 1}

Solution steps

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

Take the constant out:

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

= 5 \frac{d}{d x} (x^{e})

Apply the Power Rule:

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

= 5 e x^{e - 1}

\int 3 x e^{5 x} d x

\frac{d}{d x} (\frac{( x ^{2} - 4 x )}{x + 1})

\frac{d}{d x} (\frac{sin ( x ) + cos ( x )}{cos ( x )})

\frac{\partial}{\partial x} (sin (y^{2}) + 6 e^{x})

e^{2 y}

What is the derivative of 5x^e ?
The derivative of 5x^e is 5ex^{e-1}
What is the first derivative of 5x^e ?
The first derivative of 5x^e is 5ex^{e-1}