`d/dx(x^n.logx)`

d/dx(x^2+e^x+logx+sinx)

Differentiate the following functions with respect to x : (xsinx+cosx)(e^x+x^x+logx)

If f(x)a n dg(x) are two differentiable functions, show that f(x)g(x) is also differentiable such that d/(dx)[f(x)g(x)]=f(x)d/(dx){g(x)}+g(x)d/(dx){f(x)}

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

Using mathematical induction prove that : d/(dx)(x^n)=n x^(n-1) for all n in NN .

Using mathematical induction prove that d/(dx)(x^n)=n x^(n-1) for all positive integers n.

Differentiate the following function with respect to x : (logx)^(logx)

Differentiate the following with respect of x : e^x(x+logx)

Differentiate wrt x : (3e^(x)sinx+a^(x)*logx)

Differentiate the following w.r.t. x: (logx)^x+x^(logx)