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Popular >

derivative of (x^2)/(a^2)

Solution

derivative of

\frac{x ^{2}}{a ^{2}}

Solution

\frac{2 x}{a ^{2}}

Solution steps

\frac{d}{d x} (\frac{x ^{2}}{a ^{2}})

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

\frac{1}{a ^{2}} \cdot 2 x^{2 - 1} : \frac{2 x}{a ^{2}}

= \frac{2 x}{a ^{2}}

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Frequently Asked Questions (FAQ)

What is the derivative of (x^2)/(a^2) ?
The derivative of (x^2)/(a^2) is (2x)/(a^2)
What is the first derivative of (x^2)/(a^2) ?
The first derivative of (x^2)/(a^2) is (2x)/(a^2)