# For #f(x)=x^4# what is the equation of the tangent line at #x=-1#?

##### 1 Answer

#### Explanation:

To find the equation of a tangent line, we must first find the derivative of the initial function.

The process of finding the derivative, in this case, can be simply put as:

Knowing this we shall find our own derivative:

Now that we have our derivative, we can plug in the

To continue on with finding the equation, we do need a

All we do here is plug in the

We should now have:

Having both of the necessary values, and the slope, we can use the point-slope form equation to find our equation for the tangent line:

Simplify and solve:

Hope this helped!