Question: Directions: Consider the following function f(x). f(x) = 3x+10 Part 1 - Difference Quotient If h + 0, then the difference quotient can be

Directions: Consider the following function f(x). f(x) = 3x+10 Part 1 -

Directions: Consider the following function f(x). f(x) = 3x+10 Part 1 - Difference Quotient If h + 0, then the difference quotient can be simplified into the form A + Bh + Ch. That is: f(x+h) - f(x) =A+Bh+ Ch =A+Bh+Ch h where the coefficients A, B, and C can be functions of x or just constant terms. Find these coefficients: A=0B 3 C=0 (Note: It's possible for one or more of these coefficients to be 0.) Part 2 - Derivative Use the simplified expression from Part 1 to then calculate the derivative f'(x): f(x+h) - f(x) f'(x) = lim h0 h

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