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

Need help, If 28,000 = 85% and 28,000 / X = 100%. What the freak is X and h...

If 28,000 = 85% and 28,000 / X = 100%. What the freak is X and how do you work it out.

Differentiation formulas, Differentiation Formulas : We will begin this s...

Differentiation Formulas : We will begin this section with some basic properties and formulas.  We will give the properties & formulas in this section in both "prime" notation &

Partial Differential Equation, Consider the wave equation u_tt - u_xx = 0 w...

Consider the wave equation u_tt - u_xx = 0 with u(x, 0) = f(x) = 1 if -1 Please provide me a detailed answer. I had worked the most part of this question and the only I would like

Example of word problem, Example of Word problem: There is a man who i...

Example of Word problem: There is a man who is 21 years older than his son.  5 years ago he was four times as old as his son. How older are both now? Solution: Step 1

Shares and divident, A man invest ?13500 partly in shares paying 6% at ?140...

A man invest ?13500 partly in shares paying 6% at ?140 and partly in 5% at 125.If he is tolal income is 560, how much has he invested in each?

Find the derivatives, Find the derivatives of the following functions a)...

Find the derivatives of the following functions a)      y = 5x 4 +3x -1-x 3 b)      y = (x+1) -1/2 c)      y= e x2+1 d)     y= e 3x lnx e)     y =ln(x+1/x)y

Inverse functions, Inverse Functions : In the last instance from the pr...

Inverse Functions : In the last instance from the previous section we looked at the two functions   f ( x ) = 3x - 2 and g ( x ) = x /3+ 2/3 and saw that ( f o g ) ( x )

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