Exercise 10(h)
1. Find the points of local extrema (if any) and local extrema of the following functions each of
whose domain is shown against the function.
(1) f(x) = x?, YX E R
(f(x) = sin x, [0, 47t]
(ii) f(x) = x - 6x² + 9x + 15 VX E R
(iv) f(x) = x/(1-x) VX E (0, 1)
(v) f(x) = 1/ (x² +2) YX E R
(vi) f (x) = x - 3x VX E R
(vi) f(x) = (x - 1) (x + 2)2 VX E R
2.
(viii) f(x)
- +- Yx € (0,0)
2
112 HRER
x
х
1)
3
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sorry I don't know the correct answer
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