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Popular >

derivative of sqrt((2-x^3))

Solution

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

Solution

- \frac{3 - x + 2}{2}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Graph

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Frequently Asked Questions (FAQ)

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