Chapter 2: Q. 7 (page 221)
Explain how the formula for differentiating the natural logarithm function is a special case of the formula for differentiating logarithmic functions of the form
Short Answer
The reason has been explained.
Chapter 2: Q. 7 (page 221)
Explain how the formula for differentiating the natural logarithm function is a special case of the formula for differentiating logarithmic functions of the form
The reason has been explained.
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Get started for freeUse the definition of the derivative to find for each function f in Exercises 39-54
Find the derivatives of the functions in Exercises 21–46. Keep in mind that it may be convenient to do some preliminary algebra before differentiating.
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 that passes through the point and is parallel to the tangent line to at .
Use the differentiation rules developed in this section to find
the derivatives of the functions
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