If `f(x)` is an odd function, then write whether `f^(prime)(x)` is even or odd.

If f(x) is an even function, then write whether f^(prime)(x) is even or odd.

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

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

If f(t) is an odd function, then prove that varphi(x)=int_a^xf(t)dt is an even function.

Let G(x)=(1/(a^x-1)+1/2)F(x), where a is a positive real number not equal to 1 and f(x) is an odd function. Which of the following statements is true? G(x) is an odd function G(x)i s an even function G(x) is neither even nor odd function. Whether G(x) is an odd or even function depends on the value of a

If f(x) is an odd periodic function with period 2, then f(4) equals to-

If f(x) is a real valued odd function , then which one of the following is incorrect ?

If f(x) attains a local minimum at x=c , then write the values of f^(prime)(c) and f^(prime)prime(c) .

If f is an odd function and f(0) is defined, must f(0)=?

Let G(x)=(1/(a^x-1)+1/2)F(x), where a is a positive real number not equal to 1 and f(x) is an odd function. Which of the following statements is true? (a) G(x) is an odd function (b) G(x)i s an even function (c) G(x) is neither even nor odd function. (d)Whether G(x) is an odd or even function depends on the value of a