What is the derivative of e^{7x-4} ?

The derivative of e^{7x-4} is e^{7x-4}*7

What is the first derivative of e^{7x-4} ?

The first derivative of e^{7x-4} is e^{7x-4}*7

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\frac{d}{d x} (e^{7 x - 4})

e^{7 x - 4} \cdot 7

Solution steps

\frac{d}{d x} (e^{7 x - 4})

Apply the chain rule:

e^{7 x - 4} \frac{d}{d x} (7 x - 4)

= e^{7 x - 4} \frac{d}{d x} (7 x - 4)

\frac{d}{d x} (7 x - 4) = 7

= e^{7 x - 4} \cdot 7

What is the derivative of e^{7x-4} ?
The derivative of e^{7x-4} is e^{7x-4}*7
What is the first derivative of e^{7x-4} ?
The first derivative of e^{7x-4} is e^{7x-4}*7