Calculus Can Be Used to Find the Slope of the Line

question 77

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.
- $$f ^ { \prime } ( x ) = - x ^ { 4 } + 3 x ^ { 3 } + 5 x ^ { 2 } - 8 x + 13 \text { at } x = 2$$

• A) 25
• B) 31
• C) \(- 1\)
• D) 57

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