Find by substituting for all occurrence of in .

Simplify each term.

Apply the product rule to .

Raise to the power of .

Multiply by .

Apply the product rule to .

Multiply by by adding the exponents.

Move .

Multiply by .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Raise to the power of .

Check if .

Since , the function is even.

The function is even

The function is even

Determine if Odd, Even, or Neither f(x)=x^4-x^12+1