1518 A function y = f(x) and an x-value x0 are given.(a) Find a formula for the slope of

Chapter 2, Problem 17

(choose chapter or problem)

A function \(y = f(x)\) and an x-value \(\mathrm x_{0}\) are given.

(a) Find a formula for the slope of the tangent line to the graph of \(f\) at a general point \(x=x_{0}\).

(b) Use the formula obtained in part (a) to find the slope of the tangent line for the given value of \(\mathrm x_{0}\).

\(f(x)=x+\sqrt{x} ; \ x_{0}=1\)

Equation Transcription:

y = f(x)

x0

f

x = x0

f(x) = x + ; x0 = 1

Text Transcription:

y = f(x)

x_0

f

x = x_0

f(x) = x + sqrt x; x_0 = 1

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