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Popular >

derivative of y=\sqrt[3]{4x-5}

Solution

derivative of

Solution

\frac{4}{3 ( 4 x - 5 ) ^{\frac{2}{3}}}

Solution steps

Apply the chain rule:

\frac{1}{3 ( 4 x - 5 ) ^{\frac{2}{3}}} \frac{d}{d x} (4 x - 5)

= \frac{1}{3 ( 4 x - 5 ) ^{\frac{2}{3}}} \frac{d}{d x} (4 x - 5)

\frac{d}{d x} (4 x - 5) = 4

= \frac{1}{3 ( 4 x - 5 ) ^{\frac{2}{3}}} \cdot 4

Simplify

\frac{1}{3 ( 4 x - 5 ) ^{\frac{2}{3}}} \cdot 4 : \frac{4}{3 ( 4 x - 5 ) ^{\frac{2}{3}}}

= \frac{4}{3 ( 4 x - 5 ) ^{\frac{2}{3}}}

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x \to 0 lim (cos (\frac{7}{x}))

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x \to 9 lim (81 - x^{2})

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Frequently Asked Questions (FAQ)

What is the derivative of y=\sqrt[3]{4x-5} ?
The derivative of y=\sqrt[3]{4x-5} is 4/(3(4x-5)^{2/3)}
What is the first derivative of y=\sqrt[3]{4x-5} ?
The first derivative of y=\sqrt[3]{4x-5} is 4/(3(4x-5)^{2/3)}