What is the derivative of-d/d y y/x ?

The derivative of-d/d y y/x is -(2y)/x

What is the first derivative of-d/d y y/x ?

The first derivative of-d/d y y/x is -(2y)/x

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derivative of

- \frac{d}{d} y \frac{y}{x}

- \frac{2 y}{x}

Solution steps

\frac{d}{d y} (- \frac{d}{d} y \frac{y}{x})

Simplify

- \frac{d}{d} y \frac{y}{x} : - \frac{y ^{2}}{x}

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

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

= - \frac{2 y}{x}

- \frac{d}{d x} y = sec (2 x)

\int (e^{a x}) d x

(4, 6), (- 4, - 6)

- \frac{d}{d} u arcsin (u)

x \to 0 lim (\frac{( sin ( x ) )}{( ∣ x ∣ )})

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