How do you differentiate using the chain rule?
The chain rule differentiates a function of a function: dy/dx = dy/du × du/dx. Differentiate the outside function, keep the inside unchanged, then multiply by the derivative of the inside. For example, y = (3x + 1)⁵ gives dy/dx = 5(3x + 1)⁴ × 3 = 15(3x + 1)⁴.
Formula
dy/dx = dy/du × du/dx
Reviewed by
Want one-to-one support?
One-to-one online tuition can help you build confidence in your subject. Find a tutor who teaches your course.
Find a TutorLearn face to face in Glasgow
Prefer in-person lessons? Visit the ExpertTutor Glasgow Southside centre.
See the centre
