How do I solve the derivative of y=(1−√x)(1+√x)√x
i got it to y=1−xx0.5
Then to get the derivative I did to y′=1−10.5x−0.5)
And that equals to 0 but it says it was the wrong answer, how do I solve this?
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! ;)