Lecture2bc

Lecture2bc - Welcome to Math 122 Lecture 2 Survey of...

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Instructor: Quanlei Fang Dept. of Math, University at Buffalo, Spring 2009 Welcome to Math 122 Lecture 2 Survey of Calculus and its Applications I1 ± More about Derivative ± Applications of differential calculus MTH 121 Review MTH 121 Review

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Derivative Derivative Definition Example Derivative : The slope formula for a function y = f ( x ), denoted: Given the function f ( x ) = x 3 , the derivative is f x () dy dx ( ) . 3 2 x x f = The derivative provides us information about the rate of change of a function. The derivative of a function is also a function. Example: The derivative of the velocity function is the acceleration function. Differentiation Formulas Differentiation Formulas The following are common differentiation formulas: - The derivative of a constant is 0. - The derivative of a sum is the sum of the derivatives. d dx c = 0 d dx ( f ( x ) + g ( x )) = f '( x ) + g '( x ) d dx 7 = ; d dx e π = ;
More Formulas More Formulas - The derivative of u to a constant power: - The derivative of the

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Lecture2bc - Welcome to Math 122 Lecture 2 Survey of...

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