differentiation of tan x

We have already defined the derivative of a function f(x) at a particular point 'a' and derivative of f(x) in general for the variable x as f'(a) and f'(x) respectively. The restriction in both the cases is that 'the limit must exist'. If does n..

>does not exist, then we say that the function is not differentiable. If the above limit exists, we say the function f(x) is differentiable. In order to test the differentiability of a function at a point, the right hand derivative and left hand derivatives a..

When we want to differentiate a function of the form f(x) g(x), we use logarithmic differentiation.When we want to differentiate a function of the form f(x) g(x), we use logarithmic differentiation. Let y = f(x..

Approximations by Differentials - Let y = f (x) be a differentiable function of x, errors in x and y are denoted by d x and d y, we have \ Error in y = f ' (x) d x..

Let y = f (x). The derivative of f at x is denoted by f '(x). Finding the derivative of a function using the above definition is called differentiation from first principle..

A function f(x) is said to be differentiable at a point 'a' if (i) both Rf '(a) and Lf '(a) exists and finite. (ii) Rf '(a) = Lf '(..

A function f(x) is said to be derivable at a point x = a if A function f(x) is said to be derivable at a point x = a if Left hand derivative Lf '(a) Right hand derivative Rf '(a) ..

Differentiation of certain functions seem to be very difficult, but by suitably substituting the independent variable with some trigonometric function or other functions, they can be differentiated easily.Differentiation of certain functions seem to be very difficult, ..

- 1 x tangent inverse of x is q and write tan - 1 x = q . In particular, The graph of tan - 1 x is as shown in the figure below..

Let y = tan - 1 x. Then tan y = x. Differentiating both sides w.r.t. x, we get ..