is Equal To

Let f(x) = sin x; g(x) = x² and h(x) = log x.  

 up to nterms, then y’(0) is equal to

Let f and g be functions satisfying f(x) = e^x g(x), f (x + y) = f (x) + f(y),g(0) = 0, g’(0) = 4 g and g’ are continuous at 0.  

Then

Let f : R → R is a function which is defined by f (x) = max {x, x³}. The set of all points on which f (x) is not differentiable is

Which of the following functions is differentiable at x = 0?

If f is a differentiable function at a point ‘a’ and f’(a) ≠ 0 then which of the following is true.

 is equal to

Which of the following could be not true if 

Suppose that f(x) = [x]’, the least integer function then