# What is the derivative of this function #y=tan^-1(2x^4)#?

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:

Now just take the derivative of the function in two puzzle pieces:

SO...

and

V'oila! Our puzzle is complete!

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The derivative of the function ( y = \tan^{-1}(2x^4) ) is ( \frac{8x^3}{1 + 4x^8} ).

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