# A derivative problem

Calculus Level 5

Let $f_k(x) =0 ; when \quad x < k$and $f_k(x)=1 ; when \quad x \ge k$. The function 'T' is defined to be $T_k(x) = \dfrac{d}{dx} (f_k(x))$ Suppose$\dfrac{d^2 g(x)}{dx^2} = T_1(x) + T_2 (x)$ and $g(0) = g'(0) = 0$ Find $$\displaystyle{g(5)}$$

×