`f(theta) = 3cos(theta) - 2theta, (0,3)` Find the slope of the graph of the functions at the given point.

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Chapter 2, Review - Problem 24 - Calculus of a Single Variable (10th Edition, Ron Larson).
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mathace | (Level 3) Assistant Educator

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In order to find the slope of the given function at a specified point, first find the derivative of the function, then evaluate the derivative of the function using the given x-value.

Given: `f(theta)=3cos(theta)-2theta, (0, 3)`

`f'(theta)=-3sin(theta)-2`

`f'(0)=-3sin(0)-2`

`f'(0)=-3(0)-2`

`f'(0)=-2`

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