Mathematics 0580 · IGCSE · Differentiation

Differentiation — practice question

$y = x^7 - 7x^6$
(a)[2]

Find the derivative of $y$ in terms of $x$.

(b)[4]

Find the equation of the tangent to the graph of $y=x^7-7x^6$ at $x=-1$. Give the answer in the form $y=mx+c$.

(c)[5]

Two turning points lie on the graph of $y = x^7 - 7x^6$. Find the coordinates of these points. You must show all your working.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: $7x^6 - 42x^5$

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