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Functions of the form x^n, where n=1,2,3..are often called power functions. The first two questions below revisit work we did earlier in Chapter 1, and
Functions of the form x^n, where n=1,2,3..are often called power functions. The first two questions below revisit work we did earlier in Chapter 1, and the following questions extend those ideas to higher powers of n. a. Use the limit definition of the derivative to find f'(x) for f(x) = x^2 b. Use the limit definition of the derivative to find f'(x) for f(x) = x^3. c. Use the limit definition of the derivative to find f'(x) for f(x) = x^4. ((a+b)^4 = a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + b^4)
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