# For #f(x)=(3x-1)(2x+4) # what is the equation of the tangent line at #x=0#?

##### 1 Answer

Nov 8, 2015

#### Explanation:

The slope of the tangent is found by taking the derivative.

lets rewrite the original equation by FOIL-ing it out

now let't take the derivative using the power rule:

now we'll plug in

So, the slope of the original function at

To find the tangent line we will need the slope and a point on the line.

The point we will find is the point at

Our point is

Now let's use point-slope form to make an equation of the line.