Chapter 2: Q. 88 (page 235)
Use implicit differentiation and the fact that for all in the domain of to prove that . You will have to consider the casesand separately.
Short Answer
We proved usingimplicit differentiation.
Chapter 2: Q. 88 (page 235)
Use implicit differentiation and the fact that for all in the domain of to prove that . You will have to consider the casesand separately.
We proved usingimplicit differentiation.
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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.
If Katie walked at miles per hour for minutes and then sprinted at miles an hour for minutes, how fast would Dave have to walk or run to go the same distance as Katie did at the same time while moving at a constant speed? Sketch a graph of Katie’s position over time and a graph of Dave’s position over time on the same set of axes.
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 f is ant cubic polynomial function prove that coefficients of f a, b, c, d can be expressed in terms of values of f(x) and its derivatives at the point x=2
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.
25.
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