Sudesh let me explain you with example. Suppose a car is moving at a constant speed. For such a car will have a changing position, but rate of change of position will be constant (which is speed). If this car is at delhi at 2:00 pm today and i want to find its position at 5pm we know that distance is speed*time so it will be 60*3=180km from delhi.
Whose speed is not constant but changes with time. Suppose it is 60km/hr as 2:00 pm and keeps on increasing at a rate of 10km/hr in every hour (ie. its speed is 70 km/hr at 3pm, 80 km/hr at 4 pm amd 90 km/hr at 5pm) then what will be its position at 5pm.
You can't answer this question directly using distance=speed*time (because now speed is not constant)
Now diffferential and integral calculus are mathematical tools which will help you to solve this problem (and even problems much complicated then this)
How calculus does this is somethihng which can't be explained is such a post so i am sorry for that. Pick up books of class 11th and you will know how calculus is used to solve such problems
Krishna Gopal Singh
B.Tech Chemical Engg
IIT Delhi 2002
Currently doing PhD from IIT Delhi
Moderation Team
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