The derivative function

Letting the point of tangency vary turns f' into a function of its own, sketched from the graph of f, with attention to points where it fails to exist.

Active Calculus, The derivative function

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1 exercise

Activity 1.4.3

For each of the listed functions, determine a formula for the derivative function. For the first two, determine the formula for the derivative by thinking about the nature of the given function and its slope at various points; do not use the limit definition. For the latter four, use the limit definition. Pay careful attention to the function names and independent variables. It is important to be…

2.5