Question 1
Determine the derivative of \(g(x) = \ln(x^2) + \ln[(3x - 2)^4]\). Express the derivative as a single fraction in its simplest and factorised form.
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Mathematical Methods · Unit 2 · Further differentiation · Differentiation rules
Solve problems that involve combinations of the chain rule, product rule and quotient rule to differentiate functions involving power and polynomial functions, expressing derivatives in simplest and factorised form.
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Question 2
Find the derivative of $f(x) = \frac{(3x+2)^2}{x-1}$, expressing your answer as a single fraction in simplest and factorised form.
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Question 3
Find the derivative of $$f(x) = \frac{(3x + 2)^2}{x - 1}$$ and express your answer as a single fraction in simplest and factorised form.
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