Chapter 2: Q.37 (page 198)
Use the differentiation rules developed in this section to find
the derivatives of the functions
Short Answer
The derivative of the given function is
Chapter 2: Q.37 (page 198)
Use the differentiation rules developed in this section to find
the derivatives of the functions
The derivative of the given function is
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Get started for freeuse the definition of the derivative to prove the quotient rule
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.
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
Each graph in Exercises 31–34 can be thought of as the associated slope function f' for some unknown function f. In each case sketch a possible graph of f.
Write down a rule for differentiating a composition of four functions
(a) in “prime” notation and
(b) in Leibniz notation.
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