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

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})

Treat

d, x

as a constant

Take the constant out:

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

= \frac{d}{d} \cdot \frac{1}{x} \frac{d}{d y} (yy)

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = y, g = y

= \frac{d}{d} \cdot \frac{1}{x} (\frac{d y}{d y} y + \frac{d y}{d y} y)

\frac{d y}{d y} = 1

\frac{d y}{d y} = 1

= \frac{d}{d} \cdot \frac{1}{x} (1 \cdot y + 1 \cdot y)

Simplify

\frac{d}{d} \cdot \frac{1}{x} (1 \cdot y + 1 \cdot y) : \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