Grade 12 Maths · Calculus

Interpret a derivative graph

Use the graph of f′ to describe f, like where f has turning points (where f′ = 0) and where f is increasing (where f′ > 0).

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Grade 12 Calculus Sketch the graph of f(x), given f'(x) (DBE / NSC Maths CAPS CURRICULUM )NTE \ New Technological Education

Given the graph of f' find the intervals the graph is increasingBrian McLogan

Given the derivative graph of f' find the relative minBrian McLogan

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Question 5.3 · May/June 2025 · Paper 1 · National (DBE) · 4 marks

The graph of

f (x) = a (x + p)^{2} + q

is drawn below.

C (- 1; 4)

is the turning point of

f

B (- 3; - 4)

is a point on

f

5.3 The graph of

y = g^{'} (x)

, where

g^{'}

is the derivative of

g

, is obtained when

f

is reflected over the line

y = 4

. Draw a sketch graph of

g

g (0) < 0

. Clearly indicate any stationary points on your graph.(4)

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