derivative of ln sec x

Let f(x) = sec x. Then, we have Similarly, we can prove tha..

The Derivative of Inverse Trignometric Functions includes: 1. sin - 1 x, 2. cos - 1 x, 3. tan - 1 x, 4. cot - 1 x, 5. sec - 1 x, 6. cosec - 1 x..

- 1 x For x R - (-1, 1), if q is an angle whose secant is x, then we say that secant inverse of x is q and write sec - 1 x = q . In particular, For practical purposes, only principal values of sec - 1 ..

So far we have discussed the derivative of a function f(x) at a point 'a' which is in the domain of f. Suppose we want to find the derivative of the same function at a different point 'b', then we have to compute the derivative by repeating the same process. ..

Let f be a function and a be any point in its domain. Let h>0 be a small number. f(x) is said to be differentiable if exists and is denoted by f | (..

Find the derivative of sec x . => sec x tan x or sec 1 or sec x or 4sec x tan x..

Let f(x) = tan x. Then, we have ..

Find the derivative of sec - 1 x on R - [- 1, 1]. => 1 x 2 - 1 or 1 | x | x 2 - 1 or 1 | x | 1 - x 2 or 0..

Derivative of Implicit Functions - Till now, the functions that we have discussed, are explicitly functions of x. We have defined y in terms of x. Suppose we have an equation f(x,y) = 0, which cannot be put in the form of y=f(x) to differentiate in ..

Till now, the functions that we have discussed, are explicitly functions of x. We have defined y in terms of x. Suppose we have an equation f(x,y) = 0, which cannot be put in the form of y=f(x) to differentiate in the usual way, we can still differentia..