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16
Aug
Indirect Proportion

☼ Indirect Proportion  :   Two quantities are said to be indirectly proportional, if one the increase of  the one, the other decreases proportionately.

e.g. (i)      10    men can do a  piece of  work in     6     days

∴  15   …

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16
Aug
Direct Proportion

☼ Direct Proportion  :   Two quantities are said to be directly proportional if on the increase or decrease of  the one, the other increases or decreases proportionately.

e.g. (i)      7    ball pen cost Rs.   35

∴ 9      ”    …

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Posted in: Direct Proportion,
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16
Aug
Chain rule and unitary method

☼ Chain Rule  :   The method of  finding the fourth proportional when the other three are given is called rule of  three.

Repeated use of  rule of  three is called chain rule.

☼ Direct Proportion  :   Two quant…

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Posted in: Chain rule or unitary method,
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16
Aug
Index of Calculus

1. Formulas

2. Functions

3. Interval

4. I…

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Posted in: Index of Calculus,
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16
Aug
Examples of calculus

Examples :–

1 Evaluate  \int\frac{e^x}{1+e^{\mathrm{2x}}} \ dx.  

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16
Aug
Indefinite  Integration

Indefinite  Integration

I. If for the  function  g (x)  defined  on  interval  I ⊂  R ,

∀  x  ∈  I ,  \frac{d}{dx} g ( x )   =  f …

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Posted in: Indefinite  Integration,
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16
Aug
Examples of calculus

 Examples  : 

1 If  xexy – y  =  sin2x. Differentiating both the sides with respect to x.

 Soln.  

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16
Aug
Working  Rules

IV Working  Rules : –

 If  f   and   g   are  differentiable  on  ( a , b )  and ∀ x…

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Posted in: Working  Rules,
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16
Aug
Some  Basic  Results

III Some  Basic  Results  : –   

  1. ( c ) =  0   ;   Where   c  is  a  constant  function.

2.  \frac{d}{dx}

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Posted in: Some  Basic  Results,
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16
Aug
Examples of calculus

Examples  :

 1 Find :  \begin{matrix}lim\\x\rightarrow 0\\\end{matrix}

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