what does gradient means? Please explain with an example.. I 'm quite confused.

Asked by Suyog Gadhave | 14th Nov, 2013, 09:25: PM

Expert Answer:

Gradient
Gradient simply means gradual change in perticular direction.
Gradient of a function is the derivative of that function or rate of change of a function.
The term gradient typically refers to the derivative of vector functions.
 
For example,
If F(x) is single variable function, then gradient is
 
That gives change in function F w.r.t. X.
 
If F is multi variable function then Grad (F) has a component in each direction and has three derivatives.
 
Example
 
Velocity Gradient is defined as dv/dx.
That represents the change in velocity in X direction.
 

Answered by Komal Parmar | 19th Nov, 2013, 01:07: PM

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