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Popular >

derivative of sqrt(1-x^3)

Solution

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

Solution

- \frac{3 x ^{2}}{2 1 - x ^{3}}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

What is the derivative of sqrt(1-x^3) ?
The derivative of sqrt(1-x^3) is -(3x^2)/(2sqrt(1-x^3))
What is the first derivative of sqrt(1-x^3) ?
The first derivative of sqrt(1-x^3) is -(3x^2)/(2sqrt(1-x^3))