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Statement -I : f(x) = sin x then f' (pi)...

Statement -I : f(x) = sin x then f' `(pi)` = f' `(3pi)`
Statement - (ii) : f(x) = sin x then f `(pi)` = f `(3pi)`

A

Statement -I is ture,statement - II is true and
Statement - II is a correct explantions for Statement -I.

B

Statement -I is true, Statement - II is true but
Statement - II is not a correct explanation of Statement - I .

C

statement - I is true, Statement -II is false .

D

statement - I is true, Statement -II is false .

Text Solution

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The correct Answer is:
B
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Statement 1: For f(x)=sinx ,f^(prime)(pi)=f^(prime)(3pi) Statement 2: For f(x)=sinx ,f(pi)=f(3pi)dot a. Statement 1 and Statement 2, both are correct and Statement 2 is the correct explanation for Statement 1 b. Statement 1 and Statement 2, both are correct and Statement 2 is not the correct explanation for Statement 1 c. Statement 1 is correct but Statement 2 is wrong. d. Statement 2 is correct but Statement 1 is wrong.

If f(x)=|x|^(|sinx|), then find f^(prime)(-pi/4)

Knowledge Check

  • Statement - I : If f(x) = sinx, then f'(0) = f'(2pi) Statement - II : If f(x) = sin x , then f(0) =f(2pi) .

    A
    Statement - I is true , Statement - II is true , Statement -II is a correct explanation for Statement - I
    B
    Statement - I is True , Statement - II is True , Statement -II is not a correct explanation for Statement - I
    C
    Statement - I is True , Satement - II is False.
    D
    Statement - I is true , Statement - II is true , Statement -II is a correct explanation for Statement - I
  • Statement - I : for f(x)=sin x, f'(pi)=f'(3pi) Statement - II : for f(x) =sin x, f(pi)=f(3pi)

    A
    Statement - I is True, Statement - II is True, Statement - II is a correct explanation for Statement - I
    B
    Statement - I is True, Statement - II is True, Statement - II is not a correct explanation for Statement - I
    C
    Statement - I is True, Statement - II is False.
    D
    Statement - I is False, Statement- II is True.
  • If f(x)=xinx then f'((pi)/2) is equal to

    A
    0
    B
    1
    C
    (-1)
    D
    (1/2)
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