# What is the equation of the line tangent to #f(x)=2x^3 - x^2-x # at #x=4#?

##### 1 Answer

Jun 25, 2017

#### Explanation:

This is what we are given:

For now we need the y-value which can be calculated simply by solving for

Now we take the derivative using the power rule which states:

Keep in mind that the derivative of

Now we plug in our x-value of

This

Now we use the point slope formula which is:

Solve it: