Critical Points | Inflection Points | Derivative Test | Concave Up And Concave Down - Calculus Hindi
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- Опубликовано: 6 сен 2024
- Maxima And Minima ( Application Of Derivatives ) ( Short Cut Tricks )
Local Maxima Local Minima
Global Maxima And Global Minima
Relative Maxima And Relative Minima
Absolute Maxima And Absolute Minima
Maxima And Minima Collectively Called Extrema
Extrema Have Two Types
Local Extrema ( Also Called Relative Extrema )
Global Extrema ( Also Called Absolute Extrema )
Local Extrema ( Specific Interval )
Global Extrema ( On Entire Domain )
If A Line Is Increasing ( From Left To Right ) Slope Is Increasing
If A Line Is Decreasing ( From Left To Right ) Slope Is Decreasing
If A Line Is Horizontal Slope Is Zero
If A Line Is Vertical Slope Is Undefined
Critical Points ( Derivative Of Function Is Zero Or Undefined )
1st Derivative Test
If a function changes from positive to negative then function will achieve highest value ( Relative Maxima )
If a function changes from negative to positive then function will achieve smallest value ( Relative Minima )
2nd Derivative Test
If the 2nd derivative is positive then function has relative minima ( Concave Up )
If the 2nd derivative is negative then function has relative maxima ( Concave Down )
If the function changes from concave up to concave down or vice versa then function will have inflection point at that point.
Calculus ( Limits )
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Agar fuction Relative minima ha tu hum usa concave up bhi
Kah skty ha ....
Aur
Agar function is Relative maxima
Then we can also called it concave down or not?
why is double derivative positive for concave upwards?
Book mn likha hua hy keh agr f``=0 hoga to second derivative test fails ho jaye ga... Book wlun ny inflection point ke bat nhe ke q
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cha gehe hai sir