Differentiation exam questions
Exam-style Differentiation questions with worked solutions, step-by-step methods and common student mistakes. Practice for Mathematics and other qualifications.
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Differentiate y = 3x⁴ − 2x² + 7 with respect to x.
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dy/dx = 12x³ − 4x. The constant term differentiates to zero.
(Total for Question 1 is 2 marks)
Find the gradient of the curve y = x³ − 6x + 1 at the point where x = 2.
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dy/dx = 3x² − 6. At x = 2: gradient = 3(4) − 6 = 6.
(Total for Question 2 is 3 marks)
Question and worked solution
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