What is the equation of the tangent line to the graph of at , if ?
E) None of the above.

Question

What is the equation of the tangent line to the graph of  at  , if  ?
E) None of the above.

Quizplus · Accepted Answer

To find the equation of the tangent line, we need to take the derivative of the function at the given point and use it to find the slope of the tangent line.

Taking the derivative of the function, we get:

y' = 2x - 7

Plugging in x = 6, we get:

y' = 2(6) - 7 = 5

So the slope of the tangent line is 5.

Using the point-slope form of a line, we can find the equation of the tangent line:

y - (-4) = 5(x - 6)

Simplifying, we get:

y = 5x - 34

So the equation of the tangent line is y = 5x - 34, which matches choice B.

What Is the Equation of the Tangent Line to the Graph