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Sketching the Derivative of a Function - Expii

Sketching the Derivative of a Function - Expii

First, we learn how to sketch the derivative graph of a continuous, differentiable function f(x), either given the original function or its graph y=f(x). This relies on a solid understanding of functions, graphs, and the derivative as a function.

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Using the graph of the first derivative to reach some conclusions about the graph of a function

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SOLVED:For each function: a. Make a sign diagram for the first derivative. b. Make a sign diagram for the second derivative. c. Sketch the graph by hand, showing all relative extreme points and inflection points. f(x)=2 x^4-8 x^3+30

SOLVED:For each function: a. Make a sign diagram for the first derivative. b. Make a sign diagram for the second derivative. c. Sketch the graph by hand, showing all relative extreme points and inflection points. f(x)=2 x^4-8 x^3+30

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SOLVED:For each function: a. Make a sign diagram for the first derivative. b. Make a sign diagram for the second derivative. c. Sketch the graph by hand, showing all relative extreme points and inflection points. f(x)=2 x^4-8 x^3+30

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