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Popular >

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

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Graph

Popular Examples

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\int 5 e^{2 x + e^{2 x}} d x

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\int x^{2} + y^{2} d x

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x \to 5 lim (\frac{1}{x})

derivative of 1+sin(x)

\frac{d}{d x} (1 + sin (x))

derivative of f(x)=(72)/x derivative of

f (x) = \frac{72}{x}

Frequently Asked Questions (FAQ)

What is the derivative of \sqrt[5]{5x-4} ?
The derivative of \sqrt[5]{5x-4} is 1/((5x-4)^{4/5)}
What is the first derivative of \sqrt[5]{5x-4} ?
The first derivative of \sqrt[5]{5x-4} is 1/((5x-4)^{4/5)}