(a) Show that if f is differentiable on (, +), and ify = f(x) and y = f(x) are graphed

Chapter 4, Problem 17

(choose chapter or problem)

(a) Show that if f is differentiable on \((-\infty,+\infty)\), and if \(y=f(x)\) and \(y=f^{\prime}(x)\) are graphed in the same coordinate system, then between any two x-intercepts of f there is at least one x-intercept of \(f^{\prime}\).

(b) Give some examples that illustrate this.

Equation Transcription:

Text Transcription:

(-infinity,+ infinity)

y=f(x)

y=f'(x)

f'

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