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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, ..
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..
Which of the following functions is not an exponential function?
Which of the following functions is not an exponential function? => y = 4 x or y = ( 1 7 ) x or y = 5 - x or y = (- 6 5 ) x..
Greatest integer function or Step function (Floor function)
f (x) = [x] = greatest integer less than or equal to x [x] = n, where n is an integer such tha..
Periodic Functions
Periodic Functions - The trigonometric functions belong to a large class of functions called periodic functions in which there is a regular repetition of the values of the function over a certain interv..
Representation of a Function
A function can be represented by the following methods:A function can be represented by the following metho..
Relations and Functions
In our daily life, we come across many relations such as father-son, brother-sister, teacher-student and many more. In mathematics too, we come across relations such as . A is a subset of B . line l is parallel to line m . number m is less than number n . In all these,..
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..
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 the same process. To avoid this repeti..
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