2. Let f(x)=√x-1. a) Use the limit definition of the derivative to determine f'(2). Show work. b) Find the equation of t
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2. Let f(x)=√x-1. a) Use the limit definition of the derivative to determine f'(2). Show work. b) Find the equation of the tangent line to the graph at x=2. c) Draw the coordinate system below graph f(x) and the tangent line found above. d) The function f(x) is defined at any point in the interval [1, ∞o). Is the function differentiable on the entire interval [1, ∞o)? Why or why not?
2. Let f(x)=√x-1. a) Use the limit definition of the derivative to determine f'(2). Show work. b) Find the equation of the tangent line to the graph at x=2. c) Draw the coordinate system below graph f(x) and the tangent line found above. d) The function f(x) is defined at any point in the interval [1, ∞o). Is the function differentiable on the entire interval [1, ∞o)? Why or why not?