Note starter Scour your notes for when we used the limit process to find a derivative, then fill in the table. FunctionDerivative.

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3.3 Differentiation Formulas

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Presentation transcript:

Note starter Scour your notes for when we used the limit process to find a derivative, then fill in the table. FunctionDerivative

Section 3.1 Derivatives of Polynomials Focus: Totally use formulas for derivatives. Totally use formulas for derivatives.

Power Functions

Lets look at some derivatives we’ve done. Looks like there is a pattern.

Constant Functions f(x) = c is the horizontal line y =c so f (x) = 0 A formal proof. (don’t write down) So, the rule is

Power Functions (cont’d) Use the Power Rule to find the derivative:

Power Functions (cont’d)

Constant Multiples “the derivative of a constant times a function is the constant times the derivative of the function”

Sums and Differences (don’t write this down.) These should look like the limit laws, the derivative comes from limits.

Example

More examples Find the derivative:

Assignment 21 p odd (skip #11)