What is the derivative of this function #y=tan^-1(2x^4)#?
1 Answer
May 30, 2017
Explanation:
Aside from just applying the chain rule, one helpful way to perform this derivation may be to substitute a variable u to break the equation into separate pieces of a puzzle, like this:
We know the chain rule is
We can also let u (in this case) =
Now just take the derivative of the function in two puzzle pieces:
We know
SO...
and
From here, just substitute back
Which simplifies to...
V'oila! Our puzzle is complete!