The functions that describe growth and rhythm.
Two families of functions whose calculus is unlike anything so far. The exponential is the one function that is its own derivative, which is why it describes everything that grows in proportion to its own size. The trigonometric functions differentiate into each other in a four-step cycle, which is why they describe everything that repeats.
Lesson 1
Exponential Functions
Why e is the special base, the derivative and integral of e^x, functions of the form Ae^(kx), and growth and decay problems. Twenty practice questions, ten harder ones, and a ClassPad guide.
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Trigonometric Functions
Derivatives of sin and cos, their integrals, and applying the product, quotient and chain rules to mixed functions like x·sin x and e^(−x)·sin x. Twenty practice questions, ten harder ones, and a ClassPad guide.
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