Friday, February 12, 2016MAT 145. Friday, February 12, 2016MAT 145.

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Presentation transcript:

Friday, February 12, 2016MAT 145

Friday, February 12, 2016MAT 145

Function typeDerivative Rule Constant for constant c Power for any real number n Product of constant and functions for constant c & function f(x) Sum or difference of functions for functions f(x) and g(x) Natural exponential function Exponential Functions for constant a Friday, February 12, 2016MAT 145

Friday, February 12, 2016MAT 145

Friday, February 12, 2016MAT 145

Friday, February 12, 2016MAT 145

Friday, February 12, 2016 MAT 145

Friday, February 12, 2016MAT 145

Friday, February 12, 2016MAT 145

Friday, February 12, 2016MAT 145

Friday, February 12, 2016MAT 145

Friday, February 12, 2016MAT 145

Friday, February 12, 2016MAT 145 THE CHAIN RULE WORDS BY: JOHN A. CARTER TUNE: "CLEMENTINE" Here's a function in a function And your job here is to find The derivative of the whole thing With respect to x inside. Call the outside f of u And call the inside u of x. Differentiate to find df/du And multiply by du/dx. Use the chain rule. Use the chain rule when e'er you find The derivative of a function compositionally defined.

Friday, February 12, 2016MAT 145

Friday, February 12, 2016MAT 145

Friday, February 12, 2016MAT 145