Prove that the maximum and minimum values of the function y = are those values of y for which is a perfect square.
My Self Assessment
a) 0
b) 1
c) 5
d) 25
for more accurate result for c ε (a, b), when If for every x ε (a, b) and a < c < b and (c, f(c)) is a point lying on the curve for which F(c) is maximum, then (c) is equal to
a)
b)
c)
d) 0
for more accurate result for c ε (a, b), when If is continuous everywhere and for all a, then f(x) is a polynomial in x whose maximum possible degree is
a) 1
b) 2
c) 3
d) 4
The value of is
a) 3
c) 1
d)
Suppose f is defined on [a, b] and and f. Show that c is not a minimum point.
Suppose f is defined on [a, b] and and f. Show that c is neither a maximum nor a minimum point.
Let f(x) = on [−2, 2]. Find the points of maximum and minimum of f(x).
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Let where are all positive. Show that f(x) is strictly increasing on whole of the real line.
Let n be a positive integer and x be a positive number.
i. Show that
ii. Deduce from i) that when then and
Let a be a positive number, and set
i. Show that f is decreasing on the interval and increasing on the interval and hence show that for we have
ii. From part i) deduce that for every and
iii. For any
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2ft
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