`f(x) = 3x^2 - 4x, (1,-1)` Find the slope of the graph of the functions at the given point.

Textbook Question

Chapter 2, Review - Problem 22 - Calculus of a Single Variable (10th Edition, Ron Larson).
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gsarora17 | (Level 2) Associate Educator

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Slope of a function at a particular point is the derivative of the function at that point.

`f(x)=3x^2-4x`

`f'(x)=6x-4`

Now the derivative at the point (1,-1) can be obtained by plugging in the value of x in f'(x).

`f'(1)=6*1-4`

`f'(1)=6-4`

`f'(1)=2`

Thus the slope of the function at the given point is 2.

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