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Popular >

derivative of sqrt(64(x+2^3))

Solution

\frac{d}{d x} (64 (x + 2)^{3})

Solution

12 x + 2

Solution steps

\frac{d}{d x} (64 (x + 2)^{3})

Apply the chain rule:

\frac{1}{2 64 ( x + 2 ) ^{3}} \frac{d}{d x} (64 (x + 2)^{3})

= \frac{1}{2 64 ( x + 2 ) ^{3}} \frac{d}{d x} (64 (x + 2)^{3})

\frac{d}{d x} (64 (x + 2)^{3}) = 192 (x + 2)^{2}

= \frac{1}{2 64 ( x + 2 ) ^{3}} \cdot 192 (x + 2)^{2}

Simplify

\frac{1}{2 64 ( x + 2 ) ^{3}} \cdot 192 (x + 2)^{2} : 12 x + 2

= 12 x + 2

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Frequently Asked Questions (FAQ)

What is the derivative of sqrt(64(x+2^3)) ?
The derivative of sqrt(64(x+2^3)) is 12sqrt(x+2)
What is the first derivative of sqrt(64(x+2^3)) ?
The first derivative of sqrt(64(x+2^3)) is 12sqrt(x+2)