10/7 class notes
October 7th, 2009Definition of Derivative (h form)
Property: Derivative of the power function
Differentiation: the process of finding an equation for the derivative of a function
Procedure: Differentiating the Power Function
To differentiate the power function, 
, you multiply by the old exponent, n, then reduce the exponent by 1 to get he new exponent.
Derivative of a Sum of Two Functions: if f(x) = g(x) + h(x), where g and h are differentiable functions of x, then f’(x) = g’(x) + h’(x)
in words: the derivative of a sum equals the sum of the derivatives. Differentiation distributes over addition
Derivative of a Constant Times a Function: If f(x) = kg(x), where g is a differentiable function of x, then f’(x) = kg’(x), provided k is a constant
in words: the derivative of a constant times a function equals the constant times the derivative of the function
Derivative of a Constant Function: If f(x) = C, where C stands for a constant, then f’(x) = 0 for all values of x.
in words: constants don’t change so their rate of change is zero.
Derivative of a Sine Function:
Homework:
Bonus problem, exploring derivatives of other trig functions (not on test), major test friday-these notes are not on test.
