Let f(x) = (mx + b)n, where m and b are constants and nis an integer. Use the result of

Chapter 2, Problem 75

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Let \(f(x)=(m x+b)^{n}\), where m and b are constants and n is an integer. Use the result of Exercise 52 in Section 2.2 to prove that \(f^{\prime}(x)=n m(m x+b)^{n-1}\).

Equation Transcription:

Text Transcription:

f(x)=(mx+b)^n

f'(x)=nm(mx+b)^n-1

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