al ch 1ststements!0disprove the folloeing ststements by giving a counter example.
(a) for all real numberx, if x^2is divisible by a 4,then x is also divisible by 4.
(b) let f(x)be a function in x.if f'(x)=2x, then f(x)=x^2.
(c) all prime number are odd
p math
2009-09-11 7:14 am
回答 (1)
2009-09-11 4:37 pm
✔ 最佳答案
a. The statement is wrong. The counter-example is by putting x = 2x2 = 4 = 4 X 1, which is divisible by 4
But x = 2 is not divisible by 4.
b. This statement is wrong.
let f(x) = x2 + 1
then f'(x) = 2x
but f(x) =/= x2
c. This statement is wrong.
consider 2 = 2 X 1, which is a prime number.
But 2 itself is an even number.
參考: Physics king
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