Mathematics 0580 · IGCSE · Differentiation

Differentiation — practice question

(a(i))[4]

Find the coordinates for the points $A$, $B$ and $C$.

(a(ii))[2]

Differentiate the expression $x^2 + 3x - 4$.

(a(iii))[3]

Find the equation of the tangent at the point $(2, 6)$ on the curve.

(b(i))[2]

Using the diagram, sketch the graph of $y = \tan x$ for $0^{\circ} \leq x \leq 360^{\circ}$.

(b(ii))[3]

Solve the equation $5\tan x = -7$ when $0^{\circ} \leq x \leq 360^{\circ}$.

Worked solution & mark scheme

This 14-mark question has a full step-by-step worked solution and mark scheme. One marking point: $A(-4,0)$, $B(1,0)$ and $C(0,-4)$

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