`((d)/(dx)+x)((dpsi)/(dx)+xpsi)`

(d)/(dx)|x|

(d)/(dx)sin x

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

(d)/(dx)(3^x)(e^x)

(d)/(dx)(x^((1)/(3)))=

If f(x) and g(x) a re differentiate functions, then show that f(x)+-g(x) are also differentiable such that (d)/(dx){f(x)+-g(x)}=(d)/(dx){f(x)}+-(d)/(dx){g(x)}

Let f(x) be a differentiable and let c a be a constant.Then cf(x) is also differentiable such that (d)/(dx){cf(x)}=c(d)/(dx)(f(x))

(d)/(dx)(log*sin x)

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

Using the first principle,prove that: (d)/(dx)(f(x)g(x))=f(x)(d)/(dx)(g(x))+g(x)(d)/(dx)(f(x))