Starting from definition of differential coefficient find f'(x) when f(x) = `cos(x^2+1)`.

Find f' (x) when f(x) = 2^(cos^2x)

Find f' (x) when f(x) = sin^-1(1/sqrt(x+1))

Domain of differentiability of the function f(x) = |x-2| cos x is

Find lim_(x to 0)f(x) , when f(x) = (5x + 2) .

Find f'(x), where: f(x) = cos(Iogx)^2 where x > 0

Find the domain of definition of the function f (x) given by : f(x) = log_4 {log_5 (log_3(18x-x^2-77))} .

Find domain for, f(x)=cos^(-1)x .

Check the differentiability if f(x) = min. {1, x^(2), x^(3)} .

If f:[1,oo)rarrR:f(x) is monotonic and differentiable function and f(1)=1, then number of solutions of the equation f(f(x))=(1)/(x^(2)-2x+2) is/are……

Find the period of f(x)=cos^(-1)(cos x)