y=x^(-5)·(x2-3)^1/4
4 ________ \/ x2 - 3 ---------- 5 x
/4 ________\ d |\/ x2 - 3 | --|----------| dx| 5 | \ x /
The derivative of a constant times a function is the constant times the derivative of the function.
Apply the power rule: goes to
So, the result is:
Now simplify:
The answer is:
4 ________ -5*\/ x2 - 3 ------------- 6 x
4 _________ 30*\/ -3 + x2 -------------- 7 x