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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)  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) =x4+3x3+5x28x+13 at x=2f ^ { \prime } ( x ) = - x ^ { 4 } + 3 x ^ { 3 } + 5 x ^ { 2 } - 8 x + 13 \text { at } x = 2


A) 25
B) 31
C) 1- 1
D) 57

Correct Answer:

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