Consider the function f(x)=x -2. (a) Simplify the following difference quotient as much as possible f(x+h)-f(x)...

Transcribed Image Text:

Consider the function f(x)=√x -2. (a) Simplify the following difference quotient as much as possible f(x+h)-f(x) h (b) Use your result from (a) and the limit definition of the derivative to calculate f'(x) = lim f(x+h)-f(x) h (c) Use your answer from part (b) to evaluate f'(25) = Σ (d) Find the equation of the tangent line to the curve at the point (25, /(25)). y= = Hein Entering Answers M M M Consider the function f(x)=√x -2. (a) Simplify the following difference quotient as much as possible f(x+h)-f(x) h (b) Use your result from (a) and the limit definition of the derivative to calculate f'(x) = lim f(x+h)-f(x) h (c) Use your answer from part (b) to evaluate f'(25) = Σ (d) Find the equation of the tangent line to the curve at the point (25, /(25)). y= = Hein Entering Answers M M M