I found the derivative using the chain rule, but how do I simplify it? Here it is: I believe I'm supposed to factor out common factors, but I just don't know where to start. Thanks.
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Originally Posted by ttreat31 I found the derivative using the chain rule, but how do I simplify it? Here it is: I believe I'm supposed to factor out common factors, but I just don't know where to start. Thanks. $\displaystyle y' = -9x^2(5x-2)^3(2-x^3)^2 + 15(2-x^3)^3(5x-2)^2$ common factors look like $\displaystyle 3(5x-2)^2(2-x^3)^2$ ... pull'em out.
Ah, now I understand. Then would this be the correct answer? $\displaystyle y'=3(5x-2)^2(2-x^3)^2[-3x^2(5x-2)+5(2-x^3)]$ Edit: According to my homework, this is not simplified fully!?
Originally Posted by ttreat31 Ah, now I understand. Then would this be the correct answer? $\displaystyle y'=3(5x-2)^2(2-x^3)^2[-3x^2(5x-2)+5(2-x^3)]$ Edit: According to my homework, this is not simplified fully!? the last factor ... $\displaystyle [-3x^2(5x-2)+5(2-x^3)]$ ... can be simplified further. distribute and combine like terms.
Awesome, thank you so much!
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