State the derivative with respect to $x$ of the following functions:
a) $f(x) = 5e^{2x} + x^3$
b) $g(x) = x^2 \cdot \ln(x)$
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Create Free Account Log inThis is a free VCE Units 3 & 4 Mathematical Methods practice question worth 2 marks, testing your understanding of Derivatives of Combined Functions. It falls under Calculus in Unit 4: Mathematical Methods Unit 4. Submit your answer above to receive instant AI-powered marking and personalised feedback.
Continues the study of functions, algebra, calculus, and introduces probability and statistics.
Covers graphical treatment of limits, continuity and differentiability of functions of a single real variable, and differentiation, anti-differentiation and integration of these functions. This material is to be linked to applications in practical situations.
derivatives of $f(x) \pm g(x), f(x) \times g(x), \frac{f(x)}{g(x)}$ and $(f \circ g)(x)$ where $f$ and $g$ are polynomial functions exponential, circular, logarithmic or power functions and transformations or simple combinations of these functions
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