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A derivative formula d 2 a. Use the definition of the
Chapter 4, Problem 33E(choose chapter or problem)
QUESTION:
A derivative formula
a. Use the definition of the derivative to determine \(\frac{d}{dx}(ax^2+bx+c)\), where a, b, and c are constants.
b. Use the result of part (a) to find \(\frac{d}{dx}(4x^2-3x+10)\).
Questions & Answers
QUESTION:
A derivative formula
a. Use the definition of the derivative to determine \(\frac{d}{dx}(ax^2+bx+c)\), where a, b, and c are constants.
b. Use the result of part (a) to find \(\frac{d}{dx}(4x^2-3x+10)\).
ANSWER:Solution 33E STEP 1 (a). 2 Here f(x) = ax + bx + c We have to find d f(x) = f(x) dx f(x+h)f(x) The definition of f (x) = lim h h0 Thus on substituting the given values into the definition,we get 2 2