Let $\;f(x)=x|x|\;,g(x)=sinx\;$ and $\;h(x) =(gof)(x)\;$.Then

Question

(a) $\;h(x)\;$ is not differential at $\;x=0\;$(b) $\;h(x)\;$ is differential at $\;x=0\;$ but $\;h^{'}(x)\;$ is not continuous at $\;x=0\;$(c) $\;h(x)\;$ is continuous at $\;x=0\;$ but $\;h^{'}(x)\;$ is not differential at $\;x=0\;$(d) $h^{'}(x)\;$ is differential at $\;x=0\;$