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 freeIn Exercises 69–80, determine whether or not f is continuous and/or differentiable at the given value of x. If not, determine any left or right continuity or differentiability. For the last four functions, use graphs instead of the definition of the derivative.
Use the definition of the derivative to find for each function in Exercises 34-59
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.
Find a function that has the given derivative and value. In each case you can find the answer with an educated guess and check process it may be helpful to do some preliminary algebra
Use the definition of the derivative to find for each function in Exercises
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