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Calculus Can Be Used to Find the Slope of the Line

question 257

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Calculus can be used to find the slope of the line tangent to a curve. The slope of the tangent to the curve y=f(x)  at x=ay = f ( x ) \text { at } x = a is f'(a) . Use f'(x) to find the slope of the tangent to y=f(x) y = f ( x ) at the given value of x.
- f(x) =6x32x2+5x19f ^ { \prime } ( x ) = 6 x ^ { 3 } - 2 x ^ { 2 } + 5 x - 19 at x=2x = - 2

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