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Popular >

derivative of 5/12 (3+sqrt(5)x^3)

Solution

\frac{d}{d x} (\frac{5}{12} (3 + 5) x^{3})

Solution

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

Solution steps

\frac{d}{d x} (\frac{5}{12} (3 + 5) x^{3})

Take the constant out:

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

= \frac{5}{12} (3 + 5) \frac{d}{d x} (x^{3})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{5}{12} (3 + 5) \cdot 3 x^{3 - 1}

Simplify

\frac{5}{12} (3 + 5) \cdot 3 x^{3 - 1} : \frac{5 ( 3 + 5 ) x ^{2}}{4}

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

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Frequently Asked Questions (FAQ)

What is the derivative of 5/12 (3+sqrt(5)x^3) ?
The derivative of 5/12 (3+sqrt(5)x^3) is (5(3+sqrt(5))x^2)/4
What is the first derivative of 5/12 (3+sqrt(5)x^3) ?
The first derivative of 5/12 (3+sqrt(5)x^3) is (5(3+sqrt(5))x^2)/4