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Popular >

derivative of sqrt((x-8^3))

Solution

\frac{d}{d x} ((x - 8)^{3})

Solution

\frac{3 x - 8}{2}

Solution steps

\frac{d}{d x} ((x - 8)^{3})

Apply the chain rule:

\frac{1}{2 ( x - 8 ) ^{3}} \frac{d}{d x} ((x - 8)^{3})

= \frac{1}{2 ( x - 8 ) ^{3}} \frac{d}{d x} ((x - 8)^{3})

\frac{d}{d x} ((x - 8)^{3}) = 3 (x - 8)^{2}

= \frac{1}{2 ( x - 8 ) ^{3}} \cdot 3 (x - 8)^{2}

Simplify

\frac{1}{2 ( x - 8 ) ^{3}} \cdot 3 (x - 8)^{2} : \frac{3 x - 8}{2}

= \frac{3 x - 8}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of sqrt((x-8^3)) ?
The derivative of sqrt((x-8^3)) is (3sqrt(x-8))/2
What is the first derivative of sqrt((x-8^3)) ?
The first derivative of sqrt((x-8^3)) is (3sqrt(x-8))/2