What is the derivative of 24x^{1/2} ?

The derivative of 24x^{1/2} is (12)/(x^{1/2)}

What is the first derivative of 24x^{1/2} ?

The first derivative of 24x^{1/2} is (12)/(x^{1/2)}

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\frac{d}{d x} (24 x^{\frac{1}{2}})

\frac{12}{x ^{\frac{1}{2}}}

Solution steps

\frac{d}{d x} (24 x^{\frac{1}{2}})

Take the constant out:

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

= 24 \frac{d}{d x} (x^{\frac{1}{2}})

Apply the Power Rule:

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

= 24 \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

24 \cdot \frac{1}{2} x^{\frac{1}{2} - 1} : \frac{12}{x ^{\frac{1}{2}}}

= \frac{12}{x ^{\frac{1}{2}}}

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What is the derivative of 24x^{1/2} ?
The derivative of 24x^{1/2} is (12)/(x^{1/2)}
What is the first derivative of 24x^{1/2} ?
The first derivative of 24x^{1/2} is (12)/(x^{1/2)}