How to find derivative of a given identity?. Please explain in detail.

Asked by Pragnya Kar | 26th May, 2014, 06:41: PM

Expert Answer:

Derivative of a function is the limit to which the ratio of the small increment in the function to the corresponding small increment in the variable (on which it depends) tends to , when the small increment in the variable approaches zero.
In simple terms it is the rate of change of the function with respect to the variable (infinetisimal change in the function with respect to one of its variable )
Derivative of a function f with respect to the variable x can be written as Syntax error from line 1 column 49 to line 1 column 73. Unexpected '<mstyle '.
For example, the derivative of the position(s) of a moving object with respect to time is the object's velocity:
i.e Syntax error from line 1 column 49 to line 1 column 73. Unexpected '<mstyle '. = v, this measures how quickly the position of the object changes when time is advanced.
The derivative measures the instatneous rate of change of the function.
Derivative of a constant is always zero.
For example :
Find the velocity and acceleration of a particle with the given position of s(t) = t3 - 2t2 - 4t + 5
Velocity = Syntax error from line 1 column 49 to line 1 column 73. Unexpected '<mstyle '.
Syntax error from line 1 column 49 to line 1 column 73. Unexpected '<mstyle '.
Acceleration = Syntax error from line 1 column 49 to line 1 column 73. Unexpected '<mstyle '.
Syntax error from line 1 column 229 to line 1 column 253. Unexpected '<mstyle '.

Answered by Jyothi Nair | 27th May, 2014, 11:11: AM