Home
Class 12
MATHS
Consider function f(x) satisfies the rel...

Consider function `f(x)` satisfies the relation `f(x+y^(3))=f(x)+f(y^(3))AAx,yinRand` differentiable for all `x`.
Statement I If `f'(2)=a` then `f'(-2)=a`
`f(x)` is an odd function.

Promotional Banner

Similar Questions

Explore conceptually related problems

Suppose the function f(x) satisfies the relation f(x+y^(3))=f(x)+f(y^(3)).AA x,y in R and is differentiable for all x .Statement 1 If f'(2)=a, then f'(-2)=a Statement 2:f(x) is an odd function.

Suppose the function f(x) satisfies the relation f(x+y^3)=f(x)+f(y^3)dotAAx ,y in R and is differentiable for all xdot Statement 1: If f^(prime)(2)=a ,t h e nf^(prime)(-2)=a Statement 2: f(x) is an odd function.

Suppose the function f(x) satisfies the relation f(x+y^3)=f(x)+f(y^3)dotAAx ,y in R and is differentiable for all xdot Statement 1: If f^(prime)(2)=a ,t h e nf^(prime)(-2)=a Statement 2: f(x) is an odd function.

Suppose the function f(x) satisfies the relation f(x+y^3)=f(x)+f(y^3)dotAAx ,y in R and is differentiable for all xdot Statement 1: If f^(prime)(2)=a ,t h e nf^(prime)(-2)=a Statement 2: f(x) is an odd function.

Suppose the function f(x) satisfies the relation f(x+y^3)=f(x)+f(y^3)dotAAx ,y in R and is differentiable for all xdot Statement 1: If f^(prime)(2)=a ,t h e nf^(prime)(-2)=a Statement 2: f(x) is an odd function.

If the function / satisfies the relation f(x+y)+f(x-y)=2f(x),f(y)AAx , y in R and f(0)!=0 , then

If the function f satisfies the reation f(x+y)+f(x-y)=2f(x) f(y) Aax,yin RR and f(0) ne 0 then ____

If function f satisfies the relation f(x)*f^(prime)(-x)=f(-x)*f^(prime)(x) for all x ,

If a real valued function f(x) satisfies the equation f(x +y)=f(x)+f (y) for all x,y in R then f(x) is