What is the formula for the tangent line of $x^3$ at $x=2$?

Primary tabs

Lesson Parent: 
The Formula of the Tangent Line
Problem: 

What is the formula for the tangent line of $x^3$ at $x=2$?

Answer: 

$y=12x-16$

SAMPLE SOLUTION

All of our problems have fully worked out, logical solutions. We connect every solution to its underlying lesson so you can understand the concepts needed to solve any problem and reinforce your learning by practicing with similar problems. All of the formulas are available to our subscribers, but here is a sample of the problem solution you will see when you log in:



Solution: 

We know that the general formula for the tangent line at a point $x_o$ for $f(x)$ is

<Sign in to see all the formulas>

In this problem $x_o=2$, <Sign in to see all the formulas>, and <Sign in to see all the formulas>. Therefore,

<Sign in to see all the formulas>