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Consider the function f(x) = V}: 1. (a) Simplify the following difference quotient as much as possible x + h x W = ((sqrt(x1)+(sqrt(h+x1)))/ 2
Consider the function f(x) = V}: 1. (a) Simplify the following difference quotient as much as possible x + h x W = ((sqrt(x1)+(sqrt(h+x1)))/ 2 (b) Use your result from (a) and the limit definition of the derivative to calculate dx h>0 h (c) Use your answer from part (b) to find the instantaneous rate of change of f (x) at x = 10. Answer: Cl 2 (d) Find the equation of the tangent line to the curve at the point (10, f(10))
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