derivative of inverse hyperbolic functions

The inverse function arsinhx, artanhx, arcschx and arcothx exist for all x (-, ) while arcoshx and arsechx exist only for x (0, ..

Derivative of Inverse Trignometric Functions - Before finding the differentiation of inverse trigonometric functions, recall how the inverse trigonometric functions are defined and what the domain and range of each inverse..

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 ..

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..

Let f : A B be a real valued one-one and onto function. Therefore, we can define a function, (denoted by f - 1 ) called 'the inverse of f ' as follows: f - 1 : B A such that..

The differentiation of function of a function is known as 'chain rule'. The chain rule is probably the most widely used differentiation rule in mathematics. If y is a differentiable function of u and u is a differentiable function of x, then the h..

So far, we know how to differentiate functions like sin x and x 3 - 5. But how do we differentiate a function of a function? That is how can we differentiate sin (x 3 - 5)?So far, we know how to differentiate functions like sin x and x 3 - 5. But how do we di..

The Derivative of Some Important Functions are: 1. Derivative of a Constant, 2. Derivative of x n where n is any integer, 3. Derivative of a Constant of a Function, 4. Derivative of Exponential Function..

The derivative of the function f with respect to a variable x is the function f ' whose value at x is provided the limit exist..

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 differentiate the equation f(x,y) = 0..