You could do the question the way it is written, but it is far easier to bring the negative power up to the numerator.
y= x^2 - 3. The derivative of that is
dy/dx = 2x The three is a constant and is always dropped when a derivative is taken
d(-3)/dx = 0
If you are a purist and want to solve the question the way it is written, you could do it this way.
dy/dx = d(1)/dx x^-2 - d(x^-2)/dx * 1
======================
(x^-2)^2
dy/dx = - (-2 x^ - 3) / x^-4
dy/dx = 2 x^-3 * x^4
dy/dx = 2 x^(-3 + 4)
dy/dx = 2x ^ 1
dy/dx = 2x <<<<< answer
Answer:
B
Step-by-step explanation:
The answer is D, I'm 95% sure, double check just in case
(a) The team captain wants to know what his teammates eats before a match
Team captain know by taking a survey of teammates
(b) The team captain wants to know who can score most goals against the best player
This can be known by observation of games. so its observational study
(c) The team captain wants to know how praising the affects the teammates performance.
This can be known by experiment
(d) The team captain wants to know what other sports teammates play
This can be known by observation of games. so its observational study