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Popular >

derivative of (3(-x^2+2\sqrt[5]{x^2}))

Solution

Solution

\frac{3 ( 4 - 10 x ^{\frac{8}{5}} )}{5 x ^{\frac{3}{5}}}

Solution steps

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

Simplify

3 (- 2 x + \frac{4}{5 x ^{\frac{3}{5}}}) : \frac{3 ( 4 - 10 x ^{\frac{8}{5}} )}{5 x ^{\frac{3}{5}}}

= \frac{3 ( 4 - 10 x ^{\frac{8}{5}} )}{5 x ^{\frac{3}{5}}}

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Frequently Asked Questions (FAQ)

What is the derivative of (3(-x^2+2\sqrt[5]{x^2})) ?
The derivative of (3(-x^2+2\sqrt[5]{x^2})) is (3(4-10x^{8/5}))/(5x^{3/5)}
What is the first derivative of (3(-x^2+2\sqrt[5]{x^2})) ?
The first derivative of (3(-x^2+2\sqrt[5]{x^2})) is (3(4-10x^{8/5}))/(5x^{3/5)}