What is the derivative of 65x^{9/10} ?

The derivative of 65x^{9/10} is (117)/(2x^{1/10)}

What is the first derivative of 65x^{9/10} ?

The first derivative of 65x^{9/10} is (117)/(2x^{1/10)}

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derivative of

65 x^{\frac{9}{10}}

\frac{117}{2 x ^{\frac{1}{10}}}

Solution steps

\frac{d}{d x} (65 x^{\frac{9}{10}})

Take the constant out:

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

= 65 \frac{d}{d x} (x^{\frac{9}{10}})

Apply the Power Rule:

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

= 65 \cdot \frac{9}{10} x^{\frac{9}{10} - 1}

Simplify

65 \cdot \frac{9}{10} x^{\frac{9}{10} - 1} : \frac{117}{2 x ^{\frac{1}{10}}}

= \frac{117}{2 x ^{\frac{1}{10}}}

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What is the derivative of 65x^{9/10} ?
The derivative of 65x^{9/10} is (117)/(2x^{1/10)}
What is the first derivative of 65x^{9/10} ?
The first derivative of 65x^{9/10} is (117)/(2x^{1/10)}