Find the derivative of tan²x²

Step-by-step explanation:

Quick reminder: since

At this point, It's nested function over nested function over nested function, with the most internal one being the quadratic , then the tangent, and then, most external one, it's the tangent squared.

Chain rule. The derivative of the outermost function is

Can you write it in a better form? Maybe. Is it needed? Honestly no.

step-by-step explanation:

to determine whether a given function is even, we simply substitute x with -x in the expression. if the result after simplification is identical to the original equation, then the function is said to be even other wise odd.

f(-x) = (-x)^2 - (-x) + 8

      = x^2 + x +8

the resulting function is not identical to the original one;

f(-x) ≠ f(x)

therefore, f(x) is not an even function