What is the derivative of 5e^{5x} ?

The derivative of 5e^{5x} is 25e^{5x}

What is the first derivative of 5e^{5x} ?

The first derivative of 5e^{5x} is 25e^{5x}

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derivative of

5 e^{5 x}

25 e^{5 x}

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= 5 e^{5 x} \cdot 5

Simplify

= 25 e^{5 x}

\int_{0}^{1} x (x^{2} + 2)^{2} d x

\int e^{0.25 x} d x

\int \frac{( x + 6 )}{x + 1} d x

\frac{\partial}{\partial y} (x^{4} - x^{2} y)

\int_{- 1}^{2} (x^{3} - x + 2) d x

What is the derivative of 5e^{5x} ?
The derivative of 5e^{5x} is 25e^{5x}
What is the first derivative of 5e^{5x} ?
The first derivative of 5e^{5x} is 25e^{5x}