1 Attachment(s)

Find the derivative of the following equation in fully simplified form

G(x)=3x * (1-2x^2)^-1/3

I have attached my attempt at the question but I'm sure it's not right.Attachment 27895

Re: Find the derivative of the following equation in fully simplified form

It's pretty **close** to being right! Your function is and, using the product rule and chain rule, you have

, which is correct.

But you appear to be canceling that "-1/3" with the "3" at the end of the formula. You cannot do that because they are not multiplied together. You **can** cancel the "1/3" with the "3" at the **beginning** of the fomula: . You can, in addition, factor out: .

Re: Find the derivative of the following equation in fully simplified form

You have a lot of algebraic mistakes.

In line 2, why did you cross out the 1/3 and 3 (on the right)? They do not cancel out because they are not being multiplied together, notice there is a plus in between them. The 1/3 and the 3 (on the left) can cancel out because they're being multiplied.

In the third line, why did you randomly cross out

In the forth line, you cannot bring the like that. Can you see your mistake?

1 Attachment(s)

Re: Find the derivative of the following equation in fully simplified form

Thank you all for your replies. I have used your advice and I have attached my final answer

Re: Find the derivative of the following equation in fully simplified form

Hello, digidako!

. . . . .

. . . . .

. . . . .