Question 1
Determine the derivative of y = x² ln(3x) with respect to x. Express your answer in factorised form.
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Mathematical Methods · Unit 3 · Differentiation of trigonometric functions and differentiation rules · Differentiation rules
Use the product rule to determine the derivative of exponential, logarithmic and trigonometric functions, expressing derivatives in simplest and factorised form.
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Question 2
Which of the following is the derivative of $y = (3x + 1)e^{2x}$ with respect to $x$?
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Use the chain rule to determine the derivative of composite functions involving exponential, logarithmic and trigonometric functions, expressing derivatives in simplest and factorised form.
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Use the quotient rule to determine the derivative of exponential, logarithmic and trigonometric functions, expressing derivatives in simplest and factorised form.