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 freeProve that if f is any cubic polynomial function then the coefficients of f are completely determined by the values of f(x) and its derivative at x=0 as follows
Use the definition of the derivative to find for each function in Exercises
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.
28.
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.
A bowling ball dropped from a height of feet will be feet from the ground after seconds. Use a sequence of average velocities to estimate the instantaneous velocities described below:
After seconds, with
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