BIZNIQUE / CALCULUS / 42
Calculus for learning and optimisation
Calculus for learning and optimisation
Connect a local rate of change to the steps used to adjust a model.
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THE IDEA
Read the example.
Read the example.
A derivative describes how a function changes near a point. In several variables, a gradient collects partial derivatives. The tangent in this example shows the local linear behaviour of f(x) = x²/4.
f′(x) = local rate of change
Use it well
Use it well
A local slope does not describe a function everywhere. A large proposed step can leave the region where the local approximation is useful.
TRY IT YOURSELF
A quick check.
A quick check.
For f(x) = x²/4, what is the derivative at x = 2?
Check your reasoning
Check your reasoning
f′(x) = x/2, so the derivative at 2 is 1.
CONTINUE EXPLORING
Explore this topic.
Explore this topic.
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