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

y^{^{''}} = y

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

\frac{d}{d x} (\frac{x ^{3}}{x + x})

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

x \to 0 + lim (x^{x^{4}})

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