Question

what do u mean by differentation

Answer 1

if we have the big measurement
then you find this value with the help of differentiation
in this we can find the small value of this,
and then with the help of small value ,
you can measure the full measurement

Answer 2

HELLO THERE!

Differentiation or Derivative forms the base of Calculus.

There are many meanings of Differentiation:

=> Change of a function (or a variable) with respect to a variable.

For example, consider an equation y = x² + 2.

As input of x changes, y also changes.

So, $\frac{dy}{dx}$ = Change of y with respect to x (change of dependent variable with respect to independent variable.

=> Its Geometrical meaning is "Slope".

To find the slope of a curve, you need a particular point. Differentiation is finding slope, as it tells how fast is a thing changing with another quantity.

This tells, that m (slope) = dy/dx

or,

$\frac{dy}{dx} = tan\theta$

Formula to differentiate a simple equation:

If y = xⁿ,

then

$\frac{dy}{dx} = nx^{n-1}$

For example,

if y = x²,

$\frac{dy}{dx} = 2x^{2-1} = 2x$

Now there are some other rules such as chain rule, multiplication rule, quotient rule.

Note: Differentiation of a constant term is 0. Because it cannot change with any quantity, it's fixed. Example: Differentiation of 6 is 0.

THANKS!