Question

Which application uses differentiator?

Answer 1

Hint: First recall the definition of the differential operator then write the name of the field where the differential operator is used.



1) The differentiation of a function f(x) with respect to x denotes the rate of change of f(x) in time x.
Now, the differentiator is used in analog computers and frequency modulators.
2) The differentiation of a function f(x) with respect to x denotes the slope of the tangent of the curve.
3) Using the derivative of the function we can find the increasing or decreasing interval:
 If the derivative of the function f(x) is greater than zero in the interval (a,b), then the function is increasing in the interval (a,b).
If the derivative of the function f(x) is less than zero in the interval (a,b), then the function is decreasing in the interval (a,b).
4) Maxima and minima:
If the double derivative of a function f(x) is less than zero at x=a, then the function has local maxima at x = a
If the double derivative of a function f(x) is greater than zero at x=a, then the function has local minima at x = a

The differentiator is used in analog computers and frequency modulators.

Notes Sometime students did not find any field where a differentiator is used then they write any mathematical equation as an application which is not correct, here we need to write where we use the differentiator other than solving problems.