If where both and are differentiable and

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

y=\dfrac{u(x)}{v(x)}

where both

u(x)

and

v(x)

are differentiable and

v(x)\neq0

, which of the following represents

\dfrac{dy}{dx}

? (a)

\dfrac{u'(x)\,v(x)+u(x)\,v'(x)}{[v(x)]^{2}}

(b)

\dfrac{u'(x)\,v(x)-u(x)\,v'(x)}{[v(x)]^{2}}

(c)

\dfrac{u'(x)\,v(x)-u(x)\,v'(x)}{v(x)}

(d)

\dfrac{u(x)\,v'(x)-u'(x)\,v(x)}{[v(x)]^{2}}