`(d(a^(x)))/(dx)=`

(d(sin x))/(dx)

If (d(f(x))/(dx)=(1)/(1+x^(2)) then (d)/(dx){f(x^(3))} is

if f(x)=x^(3)ln(x) then d(f(x))/(dx)=

If f(x) and g(x) are differentiable function then show that f(x)+-g(x) are also differentiable such that d(f(x)+-g(x))/(dx)=d(f(x))/(dx)+-d(g(x))/(dx)

if d(f(x))/(dx)=x cos x+sin x and f(0)=2 then find f(x)=?

Theorem : (i)Differentiation of a constant function is 0 (ii) Let f(x) be the differentiable function and let c be a constant.Then cf(x) is also differentiable such that d(cf(x))/(dx)=cd((f(x))/(dx)

d(x^sinx)/dx=

(d(x-(1)/(x))^(2))/(dx)

If (d)/(dx)((x)/(sinx))=

Find the value of (d)/(dx)(x^(x))^(x)