Chapter 2: Q. 3 (page 232)
What limit facts and trigonometric identities are used in
the proof that
Short Answer
limit facts and sum identity for the sine are used in the proof of
Chapter 2: Q. 3 (page 232)
What limit facts and trigonometric identities are used in
the proof that
limit facts and sum identity for the sine are used in the proof of
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Get started for freeProve, in two ways, that the power rule holds for negative integer powers
a) by using the definition of the derivative
b) by using thedefinition of the derivative
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
For 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.
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.
Write down a rule for differentiating a composition of four functions
(a) in “prime” notation and
(b) in Leibniz notation.
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