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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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Basic derivative rules: table

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Derivative as slope of curve

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First, Second Derivatives and Graphs Of Functions

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(1 point) For the function f(x) shown in the graph below, sketch a graph of the derivative. You will then be picking which of the following is the correct derivative graph, but should be sure to first sketch the derivative yourself.Which of the follow ing graphs is the derivative of f(x) ? ? ∨(Click on a graph to enlarge it.)

(1 point) For the function f(x) shown in the graph below, sketch a graph of the derivative. You will then be picking which of the following is the correct derivative graph, but should be sure to first sketch the derivative yourself.Which of the follow ing graphs is the derivative of f(x) ? ? ∨(Click on a graph to enlarge it.)

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(1 point) For the function f(x) shown in the graph below, sketch a graph of the derivative. You will then be picking which of the following is the correct derivative graph, but should be sure to first sketch the derivative yourself.Which of the follow ing graphs is the derivative of f(x) ? ? ∨(Click on a graph to enlarge it.)

(1 point) For the function f(x) shown in the graph below, sketch a grap…

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