Let f(x) be a func. satisfying f(-x)=f(x) for all real x. if f"(x) exist, find its value.

Step-by-step explanation:

A function satisfying the equation is said to be an even function. This denomination comes from the fact that the same relation is satisfied for functions of the form with even. Observe that if is twice differentiable we can derivate using the chaing rule as follows:

implies

Applying the chain rule again we have:

implies

So we have that function is also an even function.

22

step-by-step explanation:

step-by-step explanation:

the true statements are:

r = set of real numbers

n = set of natural numbers, 1,2,

w = n u{0} = {0,1,}