Chain Rule

JEE Main Mathematics · Methods of Differentiation · 2 questions, latest first

• Suppose for a differentiable function h, h(0)=0, h(1)=1 and h^′(0)=h^′(1)=2. If g(x)=h(e^x) e^h(x), then g^′(0) is equal to:20246 April, Shift 2 · Q10
• Let y=f(x)= sin^3((π)/3( cos ((π)/(3 √2)(-4 x^3+5 x^2+1)^(3/2)))). Then, at x=1,202331 January, Shift 1 · Q67