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Statement 1: If f(x) is an odd function,...

Statement 1: If `f(x)` is an odd function, then `f^(prime)(x)` is an even function. Statement 2: If `f^(prime)(x)` is an even function, then `f(x)` is an odd function.

Answer

Step by step text solution for Statement 1: If f(x) is an odd function, then f^(prime)(x) is an even function. Statement 2: If f^(prime)(x) is an even function, then f(x) is an odd function. by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

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Knowledge Check

  • If f(x) is an odd function, then the curve y=f(x) is symmetric

    A
    about x-axis
    B
    about y-axis
    C
    about both the axes
    D
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    A
    Statement I is true, Statement II is also true, Statement II is the correct explanation of Statement 1.
    B
    Statement I is true, Statement II is also true , Statement II is not the correct explanation of Statement II.
    C
    Statement I is true, Statement II is false
    D
    Statement I is false , Statement II is true

  • Statement-1 : f(x) is a one-one function hArr f^(-1) (x) is a one-one function. and Statement-2 f^(-1)(x) is the reflection of the function f(x) with respect to y = x.

    A
    Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1.
    B
    Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1.
    C
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