What is the derivative of e^{5x-3} ?

The derivative of e^{5x-3} is e^{5x-3}*5

What is the first derivative of e^{5x-3} ?

The first derivative of e^{5x-3} is e^{5x-3}*5

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\frac{d}{d x} (e^{5 x - 3})

e^{5 x - 3} \cdot 5

Solution steps

\frac{d}{d x} (e^{5 x - 3})

Apply the chain rule:

e^{5 x - 3} \frac{d}{d x} (5 x - 3)

= e^{5 x - 3} \frac{d}{d x} (5 x - 3)

\frac{d}{d x} (5 x - 3) = 5

= e^{5 x - 3} \cdot 5

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

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

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What is the derivative of e^{5x-3} ?
The derivative of e^{5x-3} is e^{5x-3}*5
What is the first derivative of e^{5x-3} ?
The first derivative of e^{5x-3} is e^{5x-3}*5