Let f : R+ → R satisfies the functional equation
If f’(1) = e, determine f (x).
Let f is a differentiable function such that
Let f be a function such that .
ind a and b so that the function:
Determine the form of g(x) = f (f (x)) where f (x) and hence find the point of iscontinuity of g, if any.
Find the natural number a for which where the function f satisfies the relation f (x + y) = f (x) f (y) for all natural number x, y and further f (1) 2.
Find the derivative of y = log x wrt x from first principles.
Evaluate the derivative of f (x) = xn wrt x from definition of derivative. Hence find the derivative of wrt x.
Find the derivative of sin x wrt x from first principles.