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Popular >

derivative of 36x^{1/2}

Solution

\frac{d}{d x} (36 x^{\frac{1}{2}})

Solution

\frac{18}{x ^{\frac{1}{2}}}

Solution steps

\frac{d}{d x} (36 x^{\frac{1}{2}})

Take the constant out:

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

= 36 \frac{d}{d x} (x^{\frac{1}{2}})

Apply the Power Rule:

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

= 36 \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

36 \cdot \frac{1}{2} x^{\frac{1}{2} - 1} : \frac{18}{x ^{\frac{1}{2}}}

= \frac{18}{x ^{\frac{1}{2}}}

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Frequently Asked Questions (FAQ)

What is the derivative of 36x^{1/2} ?
The derivative of 36x^{1/2} is (18)/(x^{1/2)}
What is the first derivative of 36x^{1/2} ?
The first derivative of 36x^{1/2} is (18)/(x^{1/2)}