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