Example Find dy/dx for questions a) to m)

Hapa, $u = \sqrt{x+1} = (x+1)^{1/2}$ na $v = x-3$.

Kwa $u = (x+1)^{1/2}$:

Kwa $v = x-3$:

Kanuni ya quotient inasema: $\frac{dy}{dx} = \frac{v \frac{du}{dx} - u \frac{dv}{dx}}{v^2}$.
Badilisha maadili ya $u, v, \frac{du}{dx}, \frac{dv}{dx}$:

Nambari ni: $\frac{x-3}{2\sqrt{x+1}} - \sqrt{x+1}$
Ili kuchanganya maneno haya, tafuta denominator ya kawaida, ambayo ni $2\sqrt{x+1}$: