Derivative of Implicit Functions
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 ..
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 equ..
Derivative of a Constant
Let f(x) = k be the given function. Then, we have Therefore derivative of a constant is 0. or..
Let f(x) = k be the given function. Then, we have Therefore derivative of a constant is 0. or..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..Derivability or Differentiability at a Point
Let f be a function and a be any point in its domain. Let h>0 be a small number. f(x) is said to be differentiable if exists and is denoted by f | (a), then f | (a) is called the derivative or differential coefficient of f(x) at x = a. That ..
Let f be a function and a be any point in its domain. Let h>0 be a small number. f(x) is said to be differentiable if exists and is denoted by f | (a), then f | (a) is called the derivative or differential coefficient of f(x) at x = a. That ..Application of Derivatives Summary
. If m 1 m 2 = -1 the curves are orthogonal. The condition for the function f(x) to be increasing at x = a if f ' (a) >0. The condition for f(x) to be decreasing at x = a if f ' (a) < 0. A function f(x) is said to be strictly increasing at x = a if f(x)..
. If m 1 m 2 = -1 the curves are orthogonal. The condition for the function f(x) to be increasing at x = a if f ' (a) >0. The condition for f(x) to be decreasing at x = a if f ' (a) < 0. A function f(x) is said to be strictly increasing at x = a if f(x)..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..
Notion for the Derivative of a 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..
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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