Derivatives, Mathematics

Assignment Help:

Derivatives

The rate of change in the value of a function is useful to study the behavior of a function. This change in y for a unit change in x is referred to as the derivative of y with respect to x. In finance and economics, the rate of change is called marginal or incremental. For example, the marginal cost of capital is the rate of change of the total cost of capital per unit change in the new capital raised.

The idea of the deravative as the rate of change of the function at a fixed point has a geometrical foundation. The slope of the tangent to the function at a point equals the derivative at that point.

The derivative is usually denoted by  d/dx of f(x) or  df/dx . It may be noted that the derivative itself is a function, and the value of the derivative depends upon where it is evaluated.

The derivative of a function f(x) at point 'a' is defined as:

822_derivative.png

The process of getting the derivatives is called 'differentiating' a function. 


Related Discussions:- Derivatives

Determine the volume of the pool, An inground pool is pooring with water. T...

An inground pool is pooring with water. The shallow end is 3 ft deep and gradually slopes to the deepest end, which is 10 ft deep. The width of the pool is 30 ft and the length is

Explain how we converting fractions to percents, Explain how we Converting ...

Explain how we Converting Fractions to Percents ? To convert a fraction to a percent: 1. Convert the fraction to a decimal using long division. 2. Move the decimal point two p

Define degrees and radians, Q. Define Degrees and Radians? Ans. Ju...

Q. Define Degrees and Radians? Ans. Just as your height can be measured in meters or feet and your weight can be measured in pounds or kilograms, angles can be measured in

Solution of linear equation, Solution of Linear Equation How to solve ...

Solution of Linear Equation How to solve a linear equation? Please assist me.

Solve the inequality |x - 1| + |x - 2|, Solve the inequality |x - 1| + |x -...

Solve the inequality |x - 1| + |x - 2|≤ 3. Working Rule:    First of all measure the expression to zero whose modulus happens in the given inequation and from this search the va

What is the evaluation of angle, In a periscope, a pair of mirrors is mount...

In a periscope, a pair of mirrors is mounted parallel to each other as given. The path of light becomes a transversal. If ∠2 evaluate 50°, what is the evaluation of ∠3? a. 50°

Statistics, marks frequency 0-9 8 10-19 10 20-29 ...

marks frequency 0-9 8 10-19 10 20-29 14 30-39 28 40-49 46 50-59 25 60-69 17 70-79 9 80-89 2 90-99 1 (

Without a calculator give the exact value, without a calculator give the ex...

without a calculator give the exact value of each of the following logarithms. (a) (b) log1000 (c) log 16 16 (d) log 23 1  (e)  Solution (b) log10

Non linear relationships, Non Linear Relationships If the correlation ...

Non Linear Relationships If the correlation coefficient and the scatter diagram do not indicate linear relationship, then the relationship may be nonlinear. Two such relations

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd