Chapter 2: Q. 49 (page 210)
Calculate each of the derivatives or derivative values in Exercises 47–52.
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Chapter 2: Q. 49 (page 210)
Calculate each of the derivatives or derivative values in Exercises 47–52.
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Suppose f is a polynomial of degree n and let k be some integer with . Prove that if f(x) is of the form
Then where is the k-th derivative of
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
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
Use the definition of the derivative to find for each function in Exercises 39-54
Prove the difference rule in two ways
a) using definition of the derivative
b) using sum and constant multiple rules
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