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Linear Approximations
In this section we will look at an application not of derivatives but of the tangent line to a function. Certainly, to get the tangent line we do have to take derivatives, thus in some way this is an application of derivatives as well.
Given a function, f ( x ) , we can determine its tangent at x = a . The equation of the tangent line, that we'll call L ( x ) for this discussion, is,
L ( x ) = f ( a ) + f ′ ( a ) ( x - a )
Take a look at the given graph of a function & its tangent line.
From the graph we can illustrates that near x = a the tangent line & the function have closely the similar graph. On instance we will utilizes the tangent line, L ( x ) , as an approximation to the function, f ( x ) , near x = a . In these cases we call the tangent line the linear approximation to the function at x = a .
Also, their inability to apply the algorithm for division becomes quite evident. The reason for these difficulties may be many. We have listed some of them below. 1) There are n
100+5000
If A = 100 and B = 44 then A1 = 120 and B2 = 52.80 A is MAP and B is Tier 6. I need help to find a simple equation that I just cannot find. I just need the percentage
Ionic solids, which have anionic vacancies because of metal excess defect develop colour. Illustrate with the help of a suitable example.
find a common tangent to two circles
The question is: If 0.2 x n = 1.4,what is the value of n.
The math equation is written exactly this way: 0+50x1-60-60x0+10=??? The answer I get is 10 and others say 0 0+50=50 50x1=50 50-60=-10 -10-60=-70 -70x0=0 0+10=10
DEVELOPING AN UNDERSTANDING : The other day I was showing the children's book '203 Cats' to my 7-year-old niece. She had recently learnt how to write large numerals in her school
sin10+sin20+sin30+....+sin360=0 sin10+sin20+sin30+sin40+...sin180+sin(360-170)+......+sin(360-40)+sin(360-30)+sin(360-20)+sin360-10)+sin360 sin360-x=-sinx hence all terms cancel
solve the recurrence relation an=2an-1+n, a0=1
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