Define Differentiation

Let us see the introduction about define differentiation. The define differentiation is a concerned with a rate of change in one quantity with respect to another quantity. Define Differentiate is the rate of change. A slope of line is a rate of change y with respect to x. To find the rate of change of a more general function, it is necessary to take a limit. This is done explicitly for a simple quadratic function. Let us see the definition of differentiation.

Please express your views of this topic Implicit Differentiation Problems by commenting on blog.

Definition of differentiation

It is defined by the equivalent to finding a slope of the tangent line to the function at a point. The point P, we want to find the slope of the tangent line to a graph. A process of determining a rate and change of a curve in the mathematical process of finding the derivative of a function and its derivative is xn is nxn - 1

Example for differentiation

1. Solve the differentiation   x2-5x+1

Solution:

The given differentiation is x2-5x+1

Differentiate with respect to ‘x’

d/dx=( x2-5x+1)

=2x-5

Answer:

2x+5

2. Solve the differentiation 6x-1-3x-3-8x-5

Solution:

The given differentiation is 6x-1 -3x-3-8x-5

Differentiate with respect to ‘x’   d/dx = (6x-1-3x-3-8x-5)

=-6x-2+9x-4+40x-6

Answer:

-6x-2+9x-4+40x-6

3. Find the differentiation of the following function f(x) = x2+2/x+2.

Solution:

The given function is f(x) =  x2+2/x+2.

Then the differentiate of the function f’(x )= (x+2)(2x)-(x2+2)(2)/(x+2)2

=2x2+4x-2x2/(x+2)2

=4x-4/(x+2)2

Answer:

4x-4/(x+2)2

4. Solve d/dx= 2x2+7x+7

Solution:

The given differentiation is d/dx= 2x2+7x+7

Differentiate with respect to ‘x’   d/dx=4x+7

Answer:

4x+7

These are the example problems for the define differentiation.

Question:

My forthcoming post is on Continuous Charge Distribution and Example of Associative Property of Addition will give you more understanding about Algebra.

Let us see question about define differentiation.

1. The two functions f and g defined by f(x) = 6x + 5 for x real and g (t) = 6t + 5 for t real and positive are equal?

Answer:

Given two functions are equal if their rules are same and their domains are the equal.