Question

Find the derivative of
y=cot³(1-2x)²
y'=3[cot(1-2x)²]² (-csc²(1-2x)²)(2-4x)(-2)
y'=(-6+24x)[cot(1-2x)²]²(-csc²(1-2x)²)

How do you simplify further?

Answer 1

I believe your last step contains and error. Shouldn't the first parentheses contain (-12 +24x) ?

The "2" exponent outside the first bracket could have been written "cot^2"

I don't see any furher simplifications

Answer 2

Thanks. The answer key says the 12 is positive.