A-level Maths · Differentiation

Chain rule: differentiate

Differentiate (ax + b)^n, 1/(ax + b)^n or e^(kx^m) with the chain rule and give dy/dx.

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Question 1

Given that y=(6x+9)5y = (6x + 9)^{5}, find dydx\frac{dy}{dx}. Give your answer as an expression in x; you do not need to expand any brackets.

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Powers: x^2 or x². Fractions: (x+1)/2, with brackets round the top and the bottom. Roots: sqrt(x) or √x. Functions: sin(2x), ln(x), e^(2x). Times: 2x or 2*x.

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