What is the derivative of \sqrt[3]{2690-10x^2} ?

The derivative of \sqrt[3]{2690-10x^2} is -(20x)/(3(2690-10x^2)^{2/3)}

What is the first derivative of \sqrt[3]{2690-10x^2} ?

The first derivative of \sqrt[3]{2690-10x^2} is -(20x)/(3(2690-10x^2)^{2/3)}

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derivative of

3 2690 - 10 x^{2}

- \frac{20 x}{3 ( 2690 - 10 x ^{2} ) ^{\frac{2}{3}}}

Solution steps

\frac{d}{d x} (3 2690 - 10 x^{2})

Apply the chain rule:

\frac{1}{3 ( 2690 - 10 x ^{2} ) ^{\frac{2}{3}}} \frac{d}{d x} (2690 - 10 x^{2})

= \frac{1}{3 ( 2690 - 10 x ^{2} ) ^{\frac{2}{3}}} \frac{d}{d x} (2690 - 10 x^{2})

\frac{d}{d x} (2690 - 10 x^{2}) = - 20 x

= \frac{1}{3 ( 2690 - 10 x ^{2} ) ^{\frac{2}{3}}} (- 20 x)

Simplify

\frac{1}{3 ( 2690 - 10 x ^{2} ) ^{\frac{2}{3}}} (- 20 x) : - \frac{20 x}{3 ( 2690 - 10 x ^{2} ) ^{\frac{2}{3}}}

= - \frac{20 x}{3 ( 2690 - 10 x ^{2} ) ^{\frac{2}{3}}}

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What is the derivative of \sqrt[3]{2690-10x^2} ?
The derivative of \sqrt[3]{2690-10x^2} is -(20x)/(3(2690-10x^2)^{2/3)}
What is the first derivative of \sqrt[3]{2690-10x^2} ?
The first derivative of \sqrt[3]{2690-10x^2} is -(20x)/(3(2690-10x^2)^{2/3)}