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How do I solve the derivative of y=(1x)(1+x)x
i got it to y=1xx0.5

Then to get the derivative I did to y=110.5x0.5)

And that equals to 0 but it says it was the wrong answer, how do I solve this?

 Jan 28, 2021
 #1
avatar+633 
+1

If you rewrite your second equation as (1-x)x^0.5, you'll notice it doesn't actually equal the same thing. That's because it was in the bottom of a fraction before, meaning it should have a *negative* derivative.
Also, you forgot about all constants turning into 0 when you take the derivative, meaning the derivative should look a bit more like (0-1)(-0.5)(x^-1.5).

Hope this is able to help! ;)

 Jan 28, 2021
 #2
avatar+118690 
+1

Here is one suggestion:

 

y=1xx0.5y=1x0.5xx0.5y=x0.5x0.5y=0.5x1.50.5x0.5y=0.5xx0.5xy=12x1.5(1+x)

 

It probably would have been quicker to use the quotient rule.

Note: I have not checked for careless errors.

 Jan 28, 2021

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