Question: Directions: Consider the following function f(x) at a=2 f(x)=4x24 Part 1 - Difference Quotient If h=0, then the difference quotient can be simplifed into the

Directions: Consider the following function f(x) at a=2 f(x)=4x24 Part 1 - Difference Quotient If h=0, then the difference quotient can be simplifed into the form Ah+B. That is: hf(2+h)f(2)=Ah+B where A and B are constants. Find these constants: A=andB= (Note: its possible for one or more of these constants to be 0 .) Part 2 - Derivative Use the simplified expression from Part 1 to then calculate the derivative f(2). f(2)=limh0hf(2+h)f(2) f(2)= Part 3 - Tangent Line Find the equation of the tangent line to the curve y=f(x) at a=2. Tangent Line: y=

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