2311lectureoutline3.1

2311lectureoutline3.1 - : If c is a constant and f is a...

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MAC2311, Calculus I 3.1 Derivatives of Polynomials and Exponential Functions We will now learn rules for finding derivatives without having to use the definition directly every time we need to find the slope of a tangent line or a rate of change. Derivative of a Constant Function : ( ) 0 d c dx = The Power Rule : 1 ( ) n n d x nx dx - = for any real number n The Constant Multiple Rule
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Unformatted text preview: : If c is a constant and f is a differentiable function, then [ ] ( ) ( ) d d cf x c f x dx dx = . The Sum/Difference Rules: If f and g are both differentiable, then [ ] ( ) ( ) ( ) ( ) d d d f x g x f x g x dx dx dx = . Derivative of the Natural Exponential Function: ( ) x x d e e dx = Lets try exercises 20, 22, 24, 34, 48, 50, 54 on p. 181 in the text....
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