Differentiation — Questions

IGCSE Mathematics (0580) practice questions. Work through each question before checking the solutions page.

Question 1

[2](a)Find dy/dx for y = x³ − 3x² + 2.

Question 2

[2](a)Find the x-coordinates of the stationary points of y = x³ − 3x² + 2.

[2](b)Find the corresponding y-values at these stationary points.

Question 3

[2](a)Find dy/dx for y = 2x³ − 6x.

Question 4

[3](a)Find the stationary points of y = 2x³ − 6x.

Question 5

[2](a)Find dy/dx for y = 4x² + 3x − 7.

Question 6

[2](a)Find the gradient of the curve y = x³ − 2x at the point where x = 2.

Question 7

[2](a)Find dy/dx for y = x² − 4x + 1.

[2](b)Find the stationary point, and the value of y there.

Question 8

[1](a)Differentiate y = 5x⁴.

Question 9

[2](a)Find the gradient of y = x² − 4x + 1 at x = 0.

Question 10

[1](a)Explain what dy/dx = 0 tells you about a curve at that point.

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