2019 TWO(c)

Question

A curve is defined parametrically by the equations

x = \frac{1}{( 5 - t ) ^{2}}

and

y = 5 t - t^{2}

.

Find the gradient of the tangent to the curve at the point when

t = 2

.

*You must use calculus and show any derivatives that you need to find when solving this problem.*

Full Solution

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Video Explanation

NCEA Level 3 Calculus Differentiation 2019 NZQA Exam - Worked Answers by infinityplusone(starts at 26:23)