Calculus Homework Help

[ambright4life]

I worked out my problems and got answers, so I just need help with someone telling me if it right or not please! I would greatly appreciate it!

Question

Consider the graph of the function f(x)=x^2-x-12. (a) Find the equation of the secant line joining the points (-2, -6) and (4, 0). (b) Use the Mean Value Theorem to determine a point c in the interval (-2, 4) such that the tangent line at c is parallel to the secant line. (c) Find the equation of the tangent line through c.

Answers

a) y=x-4
b)f'(c)=1
c)y=x-13

Thank you!

[MAS1]

Originally Posted by ambright4life

I worked out my problems and got answers, so I just need help with someone telling me if it right or not please! I would greatly appreciate it!

Question

Consider the graph of the function f(x)=x^2-x-12. (a) Find the equation of the secant line joining the points (-2, -6) and (4, 0). (b) Use the Mean Value Theorem to determine a point c in the interval (-2, 4) such that the tangent line at c is parallel to the secant line. (c) Find the equation of the tangent line through c.

Answers

a) y=x-4
b)f'(c)=1
c)y=x-13

Thank you!

All of your answers look correct.