Derivative and differentiation, Mathematics

Assignment Help:

Derivative and Differentiation

The process of acquiring the derivative of a function or slope or gradient is referred to as differentiation or derivation. The derivative is denoted by (dy)/(dx) or f (x) and is provided by dividing the change in y variable by the change in x variable.

The derivative or slope or gradient of a line AB connecting points (x,y) and (x+dx, y + dy) is specified by

(Δy)/(Δx) = (change in y)/(change in x)

= (((y + (dy)) - y)/ (((x + (dx)) - x)

Whereas dy is a small change in y and dx is a small change in x variables.


Related Discussions:- Derivative and differentiation

Recognizes the absolute extrema & relative extrema, Recognizes the absolute...

Recognizes the absolute extrema & relative extrema for the following function.                           f ( x ) = x 2       on [-1, 2] Solution:  As this function is simpl

Find the value of the first instalment, A man arranges to pay a debt of Rs....

A man arranges to pay a debt of Rs.3600 in 40 monthly instalments which are in a AP. When 30 instalments are paid he dies leaving one third of the debt unpaid. Find the value of th

Learn, how to find basic intrest problems

how to find basic intrest problems

Taylor series - sequences and series, Taylor Series - Sequences and Series ...

Taylor Series - Sequences and Series In the preceding section we started looking at writing down a power series presentation of a function.  The difficulty with the approach

Midpoint rule - approximating definite integrals, Midpoint Rule - Approxima...

Midpoint Rule - Approximating Definite Integrals This is the rule which should be somewhat well-known to you. We will divide the interval [a,b] into n subintervals of equal wid

Geometry, if two circles O and O''intersect in two points, A and B, the the...

if two circles O and O''intersect in two points, A and B, the the line segment OO is what?

INVESTING MONEY, HOW MANY SHARES CAN I BUY WITH 1000 DOLLARS

HOW MANY SHARES CAN I BUY WITH 1000 DOLLARS

Calculate expected average time , A car was machine washes every car in 5 m...

A car was machine washes every car in 5 minutes accurately. It has been calculated that customers will arrive as per to a Poisson distribution at an average of 8 per hour. Calculat

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