Chapter 16. DERIVATIVES
16.1 First Derivative Key
16.2 Second Derivative Key
16.3 Third and Higher Derivative keys
16.4 Rules of Differentiation
16.5 Derivatives of Polynomial Functions
16.6 Derivatives of Rational Functions
16.7 Derivatives of Trigonometric, Logarithmic and Exponential Functions
16.8 More on Derivatives
Derivatives
The derivative of a function is found by drawing a tangent line to the graph of the function and calculating the line's slope at every point. For example, the derivative of f(x) = x^2 - 3x + 2 is f'(x) = 2x - 3, meaning that the slope at x = 1 is f'(1) = 2*1 - 3 = -1, the slope at x = 2 is f'(2) = 2*2 - 3 = 1 and so on.
