Direction: For the following questions, choose the correct answers from the codes [a], [b], [c] and [d] defined as follows. |
Let \[f(x)\] be a function such that \[f'(x)\,=\,\prod\limits_{n\,=\,1}^{10}{{{(x-n)}^{n}}}\]. |
Statement I The sum of all values of \[x\]at which \[f(x)\] attains minima is 15. |
Statement II\[f(x)\] has inflectional points at \[x=2,\,4,\,6,\,\,8,\,\,10\] |
A) Statement I is true. Statement II is also true and Statement n is the correct explanation of Statement I.
B) Statement I is true. Statement II is also true and Statement n is not the correct explanation of Statement I.
C) Statement I is true. Statement II is false.
D) Statement I is false. Statement II is true.
Correct Answer: A
Solution :
\[f(x)\] has inflectional points at \[x=2,\,4,\,6,\,8,\,10\]. Maximum at \[x=3,\,7\] and minimum at \[x=1,\,\,5,\,\,9\]. \[\therefore \] Sum of minimum values of \[x=1+5+9=15\]You need to login to perform this action.
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