$\"\"$

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Observe the graph.

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The function represents the a linear function.

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The linear function passes through the points $\"\"$ and $\"\"$ .

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The slope of the tangent line with points $\"\"$ and $\"\"$ : $\"\"$ .

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Slope of the tangent line is

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$\"\"$

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Slope of the tangent line is $\"\"$ .

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Point-slope of the line equation is $\"\"$ .

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Substitute $\"\"$ and $\"\"$ in the point slope form.

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$\"\"$

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Therefore the function is $\"\"$ .

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$\"\"$

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Find the derivative of the function.

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Definition of derivative of the function : $\"\"$ .

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$\"\"$

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Derivative of the function is $\"\"$ .

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Derivative of the function is constant.

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$\"\"$

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Graph :

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Graph the function $\"\"$ .

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$\"\"$

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$\"\"$

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The graph of the derivative of the function $\"\"$ is

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$\"\"$