EDEXCEL 4MA1 DIFFERENTIATION ARCHIVE
Topic 3.4.2 | 15 Questions | Progressive Difficulty | Grades 6-9
🔴 EXAMINER TRAP ALERT
- • Q10: You CANNOT differentiate factors separately. Must EXPAND brackets first!
- • Q14: SPLIT the fraction before differentiating. No quotient rule at IGCSE!
- • Q11-12: Rewrite using negative/fractional indices BEFORE applying power rule.
Differentiate y = x³
Find dy/dx for y = 5x²
Differentiate y = 3x + 4
Find the gradient of y = x² at x = 5
Differentiate y = 4
Find dy/dx given y = 2x³ - 5x + 1
Find the gradient of y = 3x² + 2x at the point (2, 16)
Differentiate f(x) = ½x⁴ - ⅔x³
Find the x-coordinate where the gradient of y = x² - 4x is 0
Expand and differentiate y = x(x² + 2)
Differentiate y = 4/x
Find the gradient of y = √x at x = 9
Find the equation of the tangent to y = x² at x = 3
Differentiate y = (3x² + 5)/x
If dy/dx = 3x² - 5, find the original curve y if it passes through (1, 4)
GRADE BOUNDARIES
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