MAT135H1 Lecture Notes - Lecture 10: Difference Quotient
29 Sep 2018
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Mat135 - lecture 10 - the derivative as a function. Read sections 2. 7 -2. 8 from the textbook. F "() = lim h 0 f (+ h ) - f () / h. If f "() exists, we say f is differentiable at . To say, this definition is similar to the previous definition of the derivative at a point definition in the previous lecture. The only difference is based on our perspective such as thinking of the derivative as a function of the variable . F "() ( f ()) d dx df dx. The quantity f ( a + h ) - f ( a ) / h is the difference quotient . It represents the slope of the secant line on the graph = f () from a to a + h. The derivative f "( a ) represents the slope of the tangent line at ( a , f ( a ))
