Odd function
A function f : A B is said to be an odd function if f(x) = - f(-x) for all x A The domain and range of f depends on the definition of the function. Examples of odd function are y = sinx, y = x 3 , y = ta..
A function f : A B is said to be an odd function if f(x) = - f(-x) for all x A The domain and range of f depends on the definition of the function. Examples of odd function are y = sinx, y = x 3 , y = ta..Even and Odd functions
Even and Odd functions - i) A function f(x) is said to be even if f(-x) = f(x) ii) A function f(x) is said to be odd if f(-x) = -f(x) e.g., f(x) = x 3 , f(-x) = (-x) 3 = -x 3 = -f(x) f(x) = cos x is even for f(-x) = cos (-x) = cos q = f(x) f(x) = x ..
Even and Odd functions - i) A function f(x) is said to be even if f(-x) = f(x) ii) A function f(x) is said to be odd if f(-x) = -f(x) e.g., f(x) = x 3 , f(-x) = (-x) 3 = -x 3 = -f(x) f(x) = cos x is even for f(-x) = cos (-x) = cos q = f(x) f(x) = x ..Derivative of a Function
Derivative of a Function - 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..
Derivative of a Function of a Function
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..
Derivative of a Function of a Function
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..
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..Choose the graph of an odd function.
Choose the graph of an odd function. => Graph A or Graph B or Graph C or Both Graph A & Graph B..
Derivative of Some Important Functions
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..
Derivative of Inverse Trignometric Functions
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. Fo..
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. Fo..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 the usual way, we can still differentiate the equation f(x,y) = 0..
Derivative of a Function (in general)
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..
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..See what our Users say :
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