What is the derivative of e^{3k} ?

The derivative of e^{3k} is e^{3k}*3

What is the first derivative of e^{3k} ?

The first derivative of e^{3k} is e^{3k}*3

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derivative of

e^{3 k}

e^{3 k} \cdot 3

Solution steps

\frac{d}{d k} (e^{3 k})

Apply the chain rule:

e^{3 k} \frac{d}{d k} (3 k)

= e^{3 k} \frac{d}{d k} (3 k)

\frac{d}{d k} (3 k) = 3

= e^{3 k} \cdot 3

\frac{d}{d x} ((3 x^{4} + 4 x)^{2} (5 x + 8)^{4})

t \to 0 lim (\frac{e ^{6 t} - 1}{t})

y = - 4 e^{- 4 x}

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What is the derivative of e^{3k} ?
The derivative of e^{3k} is e^{3k}*3
What is the first derivative of e^{3k} ?
The first derivative of e^{3k} is e^{3k}*3