Formulas in differentiation applications. Hello friends, here is a collection of formulas in differentiation applications. Have a look!!

**Formulas in differentiation applications**

Suppose is the equation of any curve.

So here are the first two formulas.

**Equations of the tangent and the normal to any curve**

The equation of the tangent of this curve at the point is

Similarly, the equation of the normal to this curve at the point is

Now comes two more formulas.

**Equation the radius of curvature of any curve **

Now the equation of the radius of curvature at any point is

#### Maximum and minimum values of functions

Let’s say is a function.

For any maximum or minimum value of .

For the minimum value of .

Also, for the maximum value of , the value of .

##### Points of inflexion

Let’s say is a function.

For the point of inflexion, . Also, there will be a change of sign at when it passes through the point.

Note: There are more formulas where we apply differentiation. As soon as I’ll write more on this topic, I’ll update this post.

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