Chapter 2: Q 28 (page 238)
Find a function that has the given derivative and value f(c).
Short Answer
Antiderivaive
Chapter 2: Q 28 (page 238)
Find a function that has the given derivative and value f(c).
Antiderivaive
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Get started for freeFor each function f and value in Exercises 35–44, use a sequence of approximations to estimate . Illustrate your work with an appropriate sequence of graphs of secant lines.
Taking the limit: We have seen that if f is a smooth function, then This approximation should get better as h gets closer to zero. In fact, in the next section we will define the derivative in terms of such a limit.
.
Use the limit just defined to calculate the exact slope of the tangent line toat
Use the definition of the derivative to find for each function in Exercises 39-54
Use thedefinition of the derivative to prove the power rule holds for positive integers powers
Write down a rule for differentiating a composition of four functions
(a) in “prime” notation and
(b) in Leibniz notation.
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