What is the derivative of (y^2)/(x^2) ?

The derivative of (y^2)/(x^2) is (2y)/(x^2)

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

The first derivative of (y^2)/(x^2) is (2y)/(x^2)

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derivative of

\frac{y ^{2}}{x ^{2}}

\frac{2 y}{x ^{2}}

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

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

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

a^{3} - 3

y = (x^{2} - 4) (2 x - 6)

7 e^{t - 7} - 7

f (x) = - x - 1

x^{7} + 2 x^{6} - x^{3}

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