Posted by **sh** on Wednesday, March 24, 2010 at 4:58am.

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?

- Calculus -
**drwls**, Wednesday, March 24, 2010 at 8:41am
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

- Calculus -
**sh**, Wednesday, March 24, 2010 at 10:37am
Thanks. The answer key says the 12 is positive.

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