Unformatted text preview: f’(a), is ( ) ( ) ( ) lim h f a h f a f a h → +′ = provided this limit exists. An equivalent statement: ( ) ( ) ( ) lim x a f x f a f a x a →′ =. In General: • The derivative of a function at a, denoted , f’(a), gives us the slope of the tangent line at a . • The derivative of a function f(x) at a, denoted f’(a), also gives us an instantaneous rate of change. • If s(t) represents the position of an object at time t , then the s’(t) gives us the velocity of the object at time t – the instantaneous rate of change in s(t) at time t . Try Exercises 4, 10ab, 16ab, 18, 30, 32, 34, 38, 46a on pages 150152 in the textbook....
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 Spring '11
 Teague
 Calculus, Derivative, Slope

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