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 trigonometric function. For ready reference, the doma..
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 trigonometric function. For ready reference, the doma..Differentiation by Substitution
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. If f(x) involves inverse..
Differentiation by Substitution
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 fu..
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 fu..Differentiation
Differentiation is the process by which the unspecialised embryonic cells change in structure and function during development and growth of an organism to form specialised cell types, tissues, and organs, distinct from one another. Differentiation makes cells of the sa..
Differentiation
Differentiation is the process by which the unspecialised embryonic cells change in structure and function during development and growth of an organism to form specialised cell types, tissues, and organs, distinct from one another. Differentiation makes cells of ..
Differentiability
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 not exist, then we say that the..
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 not exist, then we say that the..Differentiability
>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 lef..
Inverse Functions
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..
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..Comparison between differentiation and integration
. Differentiation is a process involving limits, so is integration. 10. The process of differentiation and integration are inverses of each other. In the earlier section we have found the integral (antiderivative) of a function by inspection. For a given ..
. Differentiation is a process involving limits, so is integration. 10. The process of differentiation and integration are inverses of each other. In the earlier section we have found the integral (antiderivative) of a function by inspection. For a given ..Differentiation of Parametric Functions
If x=f(t) and y=g(t), where x and y are dependant on the independent variable t, thenIf x=f(t) and y=g(t), where x and y are dependant on the independent variable t, then t is called the paramet..
If x=f(t) and y=g(t), where x and y are dependant on the independent variable t, thenIf x=f(t) and y=g(t), where x and y are dependant on the independent variable t, then t is called the paramet.. Result
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