Chapter 2: Q 2. (page 237)
Basic definition-of-derivative calculations: Find the derivatives of the functions that follow, using (a) the definition of the derivative and (b) the definition of the derivative.
Chapter 2: Q 2. (page 237)
Basic definition-of-derivative calculations: Find the derivatives of the functions that follow, using (a) the definition of the derivative and (b) the definition of the derivative.
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Get started for freeFor each function graphed in Exercises 65-68, determine the values of at which fails to be continuous and/or differentiable. At such points, determine any left or right continuity or differentiability. Sketch secant lines supporting your answers.
Suppose h(t) represents the average height, in feet, of a person who is t years old.
(a) In real-world terms, what does h(12) represent and what are its units? What does h' (12) represent, and what are its units?
(b) Is h(12) positive or negative, and why? Is h'(12) positive or negative, and why?
(c) At approximately what value of t would h(t) have a maximum, and why? At approximately what value of t would h' (t) have a maximum, and why?
Use the definition of the derivative to find the equations of the lines described in Exercises 59-64.The line tangent to the graph of at the point
Suppose and . Use the chain rule to find role="math" localid="1648356625815" without first finding the formula for .
Use the definition of the derivative to find for each function in Exercises 34-59
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