Even function
A function f : A B is said to be an even 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 even function are y = cosx, y = x 2 , y = secx A polynomial with only even powers of x is an even ..
A function f : A B is said to be an even 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 even function are y = cosx, y = x 2 , y = secx A polynomial with only even powers of x is an even ..Derivative of a Function of a Function
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..
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..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 d..
Trigonometric functions
Trigonometric functions are sinx, cosx, tanx, etc. The graph of these functions have been done in class 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 the derivative by repeating t..
Monotonic Function
A function is said to be monotonic if it is either increasing or decreasing but not both in a given interval. Consider the function The given function is increasing function on R. Therefore it is a monotonic function in [0,1]. It has its minimum ..
A function is said to be monotonic if it is either increasing or decreasing but not both in a given interval. Consider the function The given function is increasing function on R. Therefore it is a monotonic function in [0,1]. It has its minimum ..Real Function
A real valued function f : A to B or simply a real function 'f ' is a rule which associates to each possible real number x A, a unique real number f(x) B, when A and B are subsets of R, the set of real numbers. In other words, functions whose domain and co-domain are ..
A real valued function f : A to B or simply a real function 'f ' is a rule which associates to each possible real number x A, a unique real number f(x) B, when A and B are subsets of R, the set of real numbers. In other words, functions whose domain and co-domain are ..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..Logarithmic function
Logarithmic function is f (x) = log x. Its graph i..
Logarithmic function is f (x) = log x. Its graph i..Polynomial function
A function f : R R is said to be a polynomial function if for each x R, f(x) is a polynomial in x. f(x) = x 3 + x 2 + x ..
A function f : R R is said to be a polynomial function if for each x R, f(x) is a polynomial in x. f(x) = x 3 + x 2 + x ..See what our Users say :
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