Essay On Derivatives

ASSIGNMENT # 1

SINDH MADRESSATUL ISLAM UNIVERSITY

DEPATMENT OF COMPUTER SCIENCE

2ND SEMESTER

COURSE MULTIVARIABLE CALCULUS

NAME: SAAD ALI ZAFAR

ID: 16FBSCSM077

SECTION: 2C

INTRODUCTION:

The Derivative is the rate at which the one amount that changes with the respect to another amount. Geometrically, derivatives are slope of curve at a point on to the curve. The derivative is often called the (instantaneous) rate of a change. The derivative of functions represents an extremely small change of the function with the respect to the one of its variables. The process of finding the derivatives is called the differentiation.

ANSWER#1:

APPLICATIONS OF PARTIAL DIFFERENTIATION/DERIVATIVES FORM ANY FIELD OF LIFE:

AUTOMOBILES:

In Automobile there

When radar gun is pointed & fire at on the highway. The guns are able to determine the distance & time on which the radars are able to hit the certain unit of the vehicle. The use of derivative is able to the calculate the speed on which the car are going & also shot the distance that car is from the locater gun. BUSINESS:

In business world there are so many applications of derivatives. The important application is when data has recorded on graph & data tables like excel. Once it has input, the data can be recorded on graphed & with applications of derivatives we can approximate or estimate the loss and profit points for the certain ventures.

GRAPH:

The most common & important application of the derivative is to the study or analyze that can also be calculated from the many other different fields. Using of derivative one is an able to calculate the slope or gradient at the any point of the graph.

IN PHYSICS:

In the physics, the derivative of displacement of moving with the respect to the time is velocity of body, & the derivative of the velocity W.R.T time is the