Question

[2 marks] Find the derivative of y  =  √ 4 sin x + 6 at x  ...

[2 marks] Find the derivative of y  = 
4 sin x + 6
at x  =  0.
Consider the following statements. The limit
lim
x→0
g(4 + h) − g(4)
h


is equivalent to:
(i) The derivative of g(x) at x  =  h
(ii) The derivative of g(x + 4) at x  =  0
(iii) The derivative of g(−x) at x  =  −4


Determine which of the above statements are True (1) or False (2).

If  f (3)  =  −2 and  f(3)  =  −3, find the derivative of
y  =  f (x)/(f (x) + 1)


at x  = 3.

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