Calculus Can Be Used to Find the Slope of the Line

question 257

Multiple Choice

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

• A) \(- 69\)
• B) 85
• C) \(- 75\)
• D) \(- 85\)

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