Differentiability #!#Tangent

Derivatives || Tangent || Classical definition OF differentiability & important points

Differentiate y=tanx

f(x) is double differentiable function. Tangent at (1, f(1)) and (3, (f(3)) cuts positive x-axis at an angle pi/6 and pi/4 then value of int_1^3(f'(x)^2+1)f''(x)dx is:

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))

Prove that the curves y_(1) = f (x) (f(x) gt 0) and y_(2) = f(x) sin x, where f(x) is a differentiable function, are tangent to each other at the common points.

Differentiation of Infinite long expression || d/dx(x^(x^(x..)))

The product of differentiable and non- differentiable functions may be differentiable.

Differentiation OF infinite series || Question based on differential equation || Differentiation OF inverse trigonometric function || Substitution Based questions

Differentiate kayyokinesis and cytokinesis.

Differentiation of infinite series