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Popular >

derivative of sqrt(3e^{x+1)}

Solution

\frac{d}{d x} (3 e^{x + 1})

Solution

\frac{3 e ^{x + 1}}{2 e ^{x + 1}}

Solution steps

\frac{d}{d x} (3 e^{x + 1})

Apply the chain rule:

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

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

\frac{d}{d x} (3 e^{x + 1}) = 3 e^{x + 1}

= \frac{1}{2 3 e ^{x + 1}} \cdot 3 e^{x + 1}

Simplify

\frac{1}{2 3 e ^{x + 1}} \cdot 3 e^{x + 1} : \frac{3 e ^{x + 1}}{2 e ^{x + 1}}

= \frac{3 e ^{x + 1}}{2 e ^{x + 1}}

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Frequently Asked Questions (FAQ)

What is the derivative of sqrt(3e^{x+1)} ?
The derivative of sqrt(3e^{x+1)} is (sqrt(3)e^{x+1})/(2sqrt(e^{x+1))}
What is the first derivative of sqrt(3e^{x+1)} ?
The first derivative of sqrt(3e^{x+1)} is (sqrt(3)e^{x+1})/(2sqrt(e^{x+1))}