For a parametric curve given by and with

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

Problem

For a parametric curve given by

x=f(t)

and

y=g(t)

with

f'(t)\neq0

, which of the following is the correct expression for

\dfrac{dy}{dx}

in terms of

t

? (a)

\dfrac{g''(t)}{f''(t)}

(b)

\dfrac{f'(t)}{g'(t)}

(c)

\dfrac{g'(t)}{f'(t)}

(d)

\dfrac{g(t)}{f(t)}

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