`d/dx(x^n/n)`=……….

d/dx(tan x) =………

d/dx(-sin x) = ……..

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

Fill in the blanks d/(dx) (cos x) =....

Differentiate the following w.r.t. x e^x+e^(x^2)+………..+e^(x^5)

Find d/(dx) (x/(1 + tan x))

Fill in the blanks d/(dx) (2x + 3) = ..................

If d/(dx) {f(x)}=1/(1+x^2) then d/(dx){f(x^3)} is a) (3x)/(1+x^3) b) (3x^2)/(1+x^6) c) (-6x^5)/(1+x^6)^2 d) (-6x^5)/(1+x^6)

Using quotient rule find d/(dx) ((x tan x )/(sec x + tan x))

What is the value of d/(dx) (sec x ) ?