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AustraliaVIC
VCE 12 Methods 2023

INVESTIGATION: Gradient and original functions

Outcomes

U34.AoS3.1

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

U34.AoS3.11

features which link the graph of a function to the graph of the corresponding gradient function or its numerical values, the tangent to a curve at a given point and how the sign and magnitude of the derivative of a function can be used to describe key features of the function and its derivative function

U34.AoS3.15

evaluate derivatives of basic, transformed and combined functions and apply differentiation to curve sketching and related optimisation problems

U34.AoS3.4

application of differentiation to graph sketching and identification of key features of graphs, including stationary points and points of inflection, and intervals over which a function is strictly increasing or strictly decreasing

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