explain differenciaton and differential calcalus.

Asked by Priyamvada Mathur | 8th Jul, 2014, 08:49: PM

Expert Answer:

The process of finding the derivative of a function with respect to the variable on which it depends is called differentiation.Derivative of a function describes how the value of a function change with any change in the variable.

Consider that y is a function of the variable x .i.e. y=f(x). The value of function y depends on the value of variable x.Hence we can say that derivative of the function is the rate of change of dependent variable y with respect to the change in independent variable x

Eg: Acceleration of a body is the rate of change of velocity of the body.i.e derivative of velocity with respect to time.

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Whereas differential calculus is one of the two branches of calculus which deals with derivatives , differential equations and other various applications of differentiation as a whole.

Answered by Jyothi Nair | 9th Jul, 2014, 10:11: AM