Maths 4.2Lesson outlineLesson 2 of 9 in Module 4
Derivative Rules and the Chain Rule
Differentiate the functions ML uses, including functions of functions.
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Learn
In this lesson10 parts
- 01A limit for every function?
- 02Powers, multiples and sums
- 03The exponential and the logarithm
- 04The chain rule
- 05The sigmoid's derivative
- 06Checkpoint: the rules so far
- 07One car's squared residual
- 08The sigmoid on the tiny ward
- 09Derivative rules in Python
- 10Recap, challenge, and next: maxima and minima
Key terms
The words this lesson introduces, each in one line. The module’s glossary collects them all.
- power rule
- the derivative of
xⁿisn xⁿ⁻¹|x³ → 3x²,12at 2 - chain rule
- the derivative of
f(g(x))isf′(g(x)) · g′(x)|(3 − 2x)² → 2(3 − 2x)(−2) - partial derivative
- the derivative with respect to one variable, the others held fixed |
∂/∂w (y − wx − b)² = −9.6for the 4-year-old car
Quiz
Your first pick on each question is the one that counts, and a right one earns a coin. Getting one wrong here is how the lesson sticks.