Chapter 2: Q. 72 (page 223)
Use implicit differentiation and the fact that is the inverse of to prove that
Short Answer
The given differentiation has been proved.
Chapter 2: Q. 72 (page 223)
Use implicit differentiation and the fact that is the inverse of to prove that
The given differentiation has been proved.
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Get started for freeuse the definition of the derivative to prove the quotient rule
Think about what you did today and how far north you were from your house or dorm throughout the day. Sketch a graph that represents your distance north from your house or dorm over the course of the day, and explain how the graph reflects what you did today. Then sketch a graph of your velocity.
Each graph in Exercises 31–34 can be thought of as the associated slope function f' for some unknown function f. In each case sketch a possible graph of f.
Use (a) the definition of the derivative and then
(b) the definition of the derivative to find for each function f and value in Exercises 23–38.
29.
State the chain rule for differentiating a composition of two functions expressed
(a) in “prime” notation and
(b) in Leibniz notation.
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