An inverse function reverses the direction of a function. Inverse functions are denoted by f-1 or F-1. If f and g are inverse, f(g(x)) = g(f(x)) = x. Inverse functions return the original value for which a function gave output
Limits explain calculus's complex nature and define derivation/integration processes. Limit notation is "The limit of of as approaches". Limits can be approached from below or above
The derivative of arccos x is -1/√(1-x²) where -1 < x < 1. It is also known as the derivative of cos inverse x. The derivative of arccos x is the negative of the derivative of sin inverse x
Squeeze Theorem evaluates limits between two simpler functions. Function approaches same limit as surrounding functions when limits are equal. Theorem requires g(x) ≤ f(x) ≤ h(x) and limits of g(x) and h(x) equal
Python's math library provides comprehensive trigonometric functions. All trigonometric functions require input in radians. Math module includes pi constant for representing pi
Functions can be defined explicitly or implicitly as F(x,y) = 0. Implicit functions can be written as y - sin x = 0, y - x² - 2x - 5 = 0. Some implicit functions cannot be solved with respect to y