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Chapter 2: Q. 66 (page 210)
In Exercises 63鈥�68, 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 while thinking about the
chain rule.
The function is
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Use the definition of the derivative to find the equations of the lines described in Exercises 59-64.
The line tangent to the graph of at the point
use the definition of derivative to directly prove the differentiation rules for constant and identity function
Instead of choosing small values of h, we could have chosen values of z close to c. What limit involving z instead of h is equivalent to the one involving h?
Find the derivatives of the functions in Exercises 21鈥�46. Keep in mind that it may be convenient to do some preliminary algebra before differentiating.
Prove 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
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