Let the curve be and

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

Let the curve be

x=t^{2}-4t

and

y=t^{3}-6t^{2}+9t

. (i) Find all real values of

t

that satisfy

\dfrac{dy}{dx}=t

. (ii) Hence write the equation of the tangent line at each of these points.

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