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Popular >

derivative of 4x^{5/2}

Solution

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

Solution

10 x^{\frac{3}{2}}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

4 \cdot \frac{5}{2} x^{\frac{5}{2} - 1} : 10 x^{\frac{3}{2}}

= 10 x^{\frac{3}{2}}

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Frequently Asked Questions (FAQ)

What is the derivative of 4x^{5/2} ?
The derivative of 4x^{5/2} is 10x^{3/2}
What is the first derivative of 4x^{5/2} ?
The first derivative of 4x^{5/2} is 10x^{3/2}