Calculus Can Be Used to Find the Slope of the Line

question 230

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.
-The derivative of a function can be used to find the slope of the line tangent to its graph. If the slope of the line tangent to the graph of $f ( x ) = x ^ { 2 } + x$ at $( 5,30 )$ is 11 , write the equation of this tangent line.

• A) \(y = - 11 x + 85\)
• B) \(y = 11 x - 25\)
• C) \(y = 11 x + 25\)
• D) \(y = - 11 x - 85\)

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