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

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

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

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

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derivative of

e^{5 x}

e^{5 x} \cdot 5

Solution steps

\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

= e^{5 x} \cdot 5

\int_{0}^{1} \frac{1}{x ^{2}} d x

\int \frac{tan ^{2} ( x )}{sec ^{2} ( x )} d x

\int \frac{2 x + 1}{x - 2} d x

y^{^{'}} = y (y^{3} - 1)

\int (e^{- x} - e^{5}) \cdot (e^{x} + e^{- 2}) d x

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