Find the slope of the line tangent to f(x)= x^2 - 9 at x= 4 and plot the point of tangency.

Question:

Find the slope of the line tangent to {eq}f(x)= x^2 - 9 {/eq} at x= 4 and plot the point of tangency.

Tangent Line

We can construct the equation of any line as long as we have both a point and a slope. For a tangent line, we can find both of these pieces of information by examining a function at a single point. This is because the point comes from the function itself and the slope from its derivative.

Answer and Explanation:

Become a Study.com member to unlock this answer! Create your account

View this answer

Let's find the tangent line to this function at the given point. To do so, we will need to know two things: the value of this function at this point...

See full answer below.


Learn more about this topic:

Loading...
Tangent Line: Definition & Equation

from

Chapter 1 / Lesson 11
24K

Related to this Question

Explore our homework questions and answers library