can someone help me get the first and second derviative for X square root 4-X^2.
For the first derviative I did this by using the equation F(x)g'(x)+g(x)f'(x). After using this my final answer is looking something like -X^2/(4-x^2)^1/2+ (4-x^2)^1/2
I am not sure if that is correct can someone please help with showing all work thank you a lot. I will greatly appreciate it
y = x√(4-x^2)
y' = √(4-x^2) + x * -2x/2√(4-x^2)
= √(4-x^2) - x^2/√(4-x^2)
your answer is correct. Or, you can go on to make it
(4-2x^2)/√(4-x^2)