The graph of $y = f(x)$ is shown below.
Describe the key features of the graph of $y = f’(x)$, including its $x$-intercepts and regions where $f’(x)$ is positive, negative, or zero. Explain how these features relate to the key features of the graph of $y = f(x)$.
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Create Free Account Log inThis is a free VCE Units 3 & 4 Mathematical Methods practice question worth 5 marks, testing your understanding of Derivative and Anti-derivative Graphs. 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.
deducing the graph of the derivative function from the graph of a given function and deducing the graph of an anti-derivative function from the graph of a given function
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The graph of $y = f'(x)$, the derivative of a function $f(x)$, is shown below. Assume that $f(0) = 0$. Sketch a possible graph of $y = f(x)$…
The graph of a function $f(x)$ is shown below. On the same axes, sketch a possible graph of an anti-derivative of $f(x)$, clearly indicating…
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