Rare INDIANS Coin Part-1

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Unique Indians coins by Study4u Currency is a very important thing to a country. To do any transactions you must have enough money. It's not only for the public it's necessary for any country to do any international business .. In around world approximately 195 &196 independent countries in the world 🗺 And total 249/256 countries in the world 🌏. Each country has a different currency 💱 ,,, but we are here to discuss some Indian coins which are rarely seen. I managed to get some Indian coins in this blog I'm going to show you some coins.  maybe this is the best Indian coins blog ever,. 1. The first coin is Rs5. which is indicates the  125TH ANNIVERSARY OF MAULANA ABDUL KALAM AZAD . This coin is very precious for the Muslim religion and as well as Indians. The date mentioned at coin is 11 November 1888 it's Azad sir DOB, and he died on 22 February 1958.  At the current time, this coin value is 1300 INR. 2....
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Applications of Derivative

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INTRODUCTION ::

"In this season I'm gonna tell you how to solve the questions  of  Application of  Derivatives in an easy way, In this Chapter, I also separate the topic's and make them easier to understand"

Now, These topics are very important to the Board exam point of view  and also higher study,
So I explain these topics to you, I separate those topics into 5 topics and also shared very Important Questions so without any waste of time  let's get started,

5- Types of Application of Derivative 














1. Rate Questions: 

Note : In this type you need to see > Who is changing and which relative, which relative is changing  write it in Numerator and Which relative write it in  Denominator, If nothing is given then time is understood, all values put in the last, 

Step 1 :👉👉

Note : see there is nothing given Which relative this is  changing so remember Time is understood,
write ✍ all the given keys in the form of Differentiation, As you see in the first Question there is Volume that is changing, so write it in  dv/dt we need to find out the changing rate of radius, 

Step 2 :👉👉

Put the formula according to your Question, In this, we need the formula  Volume of Spheres,
 then Differentiate it.

Step 3 :👉👉

Put all the value in the last,

2. Increasing and Decreasing : (s = sustained)

Note : 1)  f'(x) = always +ve
                       = S.I
           2) f'(x) = always -ve
                       = S.D
           3)  f'(x) = +/- or  0
                       = Neither S.I  Nor S.D

Step 1 :👉👉 

    Differentiate the given function and  put the value according to your Question,

Step 2 :👉👉

  • If the value is (+)ve function is always S.I
  • if the value is  (-)ve function is always S.D       

3. Slope & Tangent : (Very imp)

Important Formula : 


Step 1 :👉👉  

First Differentiate the Equation  and put all values in the last,                

Step 2 :👉👉 

Now after putting the value : 
                    1) If you need to find a Slope then Calculate only one m(slope),
                    2) If you need to find out whether these lines are parallel or perpendicular.

4. Approximation Value :

This question is mostly asked in 2 marks.   

Steps:👉👉  

  1. let's  y = x^n
  2. differentiate the equation.
  3. Divide the equation into two part's
  4. 1) {  X + ΔX }^n = X + ΔX      
  5. Δy =  { X + ΔX }^n  -  (X)^n  ----(1)
  6. { X + ΔX }^n  = (X)^n  + Δy  ----(2)
  7. Δy = {dy/dx} Δx
  8. put the value of Δy in equation (1)

 
5. Maxima & Minima : {very imp}

Steps:👉👉      

  1. write all the keys given in the question
  2. and then see which formulas will be applied to these questions (eq.1)
  3. and after that put dy/dx = 0
  4. Then see what about the question is asking like Maxima & Minima.
  5. After finding that { maximum or minimum } volume, you have an equation 
  6. Then Differentiate the equation and put the value in that equation.
  7. if your value is (-)ve then the volume is maximum  else (+)ve its minimum  




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    INDIA 

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