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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\frac{d}{d x} (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 \frac{4 x + 6}{( x ^{2} + 2 ) ( x + 2 )} d x

(x + y) d x + (x + 2 y) d y = 0

\int_{2}^{6} \frac{1}{x - 2} d x

x \to \infty lim (ln (+ x))

\frac{( 2 x + 3 )}{( x ^{2} + 1 )}

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