Suppose f(x) is a twice differentiable function satisfying....

[zt1596]

I'm in precalc and have no idea what this problem is asking or how to solve it:

Suppose f(x) is a twice differentiable function satisfying f(x^2)=f(x)+x^2. What are f'(1) and f"(1)?

Thanks in advance.

 

[Deleted member 4993]

I'm in precalc and have no idea what this problem is asking or how to solve it:

Suppose f(x) is a twice differentiable function satisfying f(x^2)=f(x)+x^2. What are f'(1) and f"(1)?

Thanks in advance.

This is not a pre-calc question!!

Do you know how to calculate derivative of a function - or differentiate a function?

 

[pka]

I'm in precalc and have no idea what this problem is asking or how to solve it:

Suppose f(x) is a twice differentiable function satisfying f(x^2)=f(x)+x^2. What are f'(1) and f"(1)?

\(\displaystyle \begin{gathered}
f({x^2}) = f(x) + {x^2} \hfill \\
f'({x^2})(2x) = f'(x) + 2x \hfill \\
f''({x^2}){(2x)^2} + 2f'({x^2}) = f''(x) + 2 \hfill \\
\end{gathered} \)

You show us the rest.