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Popular >

derivative of y=sqrt(2+8e^{6x)}

Solution

derivative of

y = 2 + 8 e^{6 x}

Solution

\frac{24 e ^{6 x}}{2 + 8 e ^{6 x}}

Solution steps

\frac{d}{d x} (2 + 8 e^{6 x})

Apply the chain rule:

\frac{1}{2 2 + 8 e ^{6 x}} \frac{d}{d x} (2 + 8 e^{6 x})

= \frac{1}{2 2 + 8 e ^{6 x}} \frac{d}{d x} (2 + 8 e^{6 x})

\frac{d}{d x} (2 + 8 e^{6 x}) = 48 e^{6 x}

= \frac{1}{2 2 + 8 e ^{6 x}} \cdot 48 e^{6 x}

Simplify

\frac{1}{2 2 + 8 e ^{6 x}} \cdot 48 e^{6 x} : \frac{24 e ^{6 x}}{2 + 8 e ^{6 x}}

= \frac{24 e ^{6 x}}{2 + 8 e ^{6 x}}

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Frequently Asked Questions (FAQ)

What is the derivative of y=sqrt(2+8e^{6x)} ?
The derivative of y=sqrt(2+8e^{6x)} is (24e^{6x})/(sqrt(2+8e^{6x))}
What is the first derivative of y=sqrt(2+8e^{6x)} ?
The first derivative of y=sqrt(2+8e^{6x)} is (24e^{6x})/(sqrt(2+8e^{6x))}