Derivatives (differentitation of algebraic function)
hello. Can anyone please help me in these problems.. :) Our prof gave us a long test a day ago.. but sad to say I failed to answer the 4 items in that test. Our prof gave the answers after the test but there are no solutions included. So, please help me with the solutions. Find the derivative.
1.) square root of 9-x^2
Answer: -x/(square root of 9-x^2)
2.) cube root of (3x+1)^4
Answer: 4 cube root of 3x+1
3.) x square root of 1-x
Answer: (2-3x)/(2 square root of 1-x)
4.) square root of ((1-x)/(1+x))
Answer: -1/((1+x)(square root of 1-x^2))
As you can notice, they all have square root. And I admit I'm weak when it comes with that part. Hope you can help me. Thanks in advance! :)