C++ Basic 2018 (Batch-2)
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๐ŸŽฏ C++ Basic 2018 (Batch 2) - Pre-Engineering Edition
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แˆตแˆˆ Compilation แŠฅแŠ“ Interpretation แ‹ญแ‰ แˆแŒฅ แˆˆแˆ˜แˆจแ‹ณแ‰ต แŠจแˆ‹แ‹ญ แ‹ซแˆˆแ‹แŠ• video แ‰ฐแˆ˜แˆแŠจแ‰ฑแข


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Jummah Mubarak ๐Ÿ•Œโœจ


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แ‰ แˆฐแˆ‹แˆ แŠ แ‹ฐแˆจแˆณแ‰ฝแˆ!


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๐Ÿ‘ฉโ€๐ŸŽจApplied mathematics one ๐Ÿ“

Derivative Question โ“

Let F(x)=f(2(g(x))) f(x)=x^4+x^3+1; 0<=x<=3
find F'(3)=? ๐Ÿงฎ

Hint: ๐Ÿ’ก
g(x)=inverse of f(x) ๐Ÿ”„


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โœฅApplied ๐Ÿ“

Derivative of inverse csc functions. ๐Ÿ“‰

Y=cscโปยน(secx) find dy/dx? ๐Ÿค”

Hint:
cscโปยน means inverse of csc ๐Ÿ’ก


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C++ Basic 2018 (Batch-2)
๐Ÿ‘ฉโ€๐ŸŽจApplied mathematics one ๐Ÿ“ Derivative Question โ“ Let F(x)=f(2(g(x))) f(x)=x^4+x^3+1; 0<=x<=3 find F'(3)=? ๐Ÿงฎ Hint: ๐Ÿ’ก g(x)=inverse of f(x) ๐Ÿ”„ @ProgrammingWithFaith2018
โœ…Explanation๐Ÿ‘จ๐Ÿฝโ€๐Ÿ’ผ

Hint:

(fโป)(x)=g(x)

f(a)=c  ,(fโป)'(c)=1/f'(a)

So, c=3  a=?
f(a)=a^4+a^3+1=3
   a^4+a^3-2=0
        a=1

f(1)=3


g(3)=(fโป)(3)=1
g'(3)=(fโป)'(3)=1/f'(1)=1/7

then,
F'(3)=2f'(2g(3))*(g'(3))
       =2f'(2)*(1/7)
       =88*1/7
       =88/7


@ProgrammingWithFaith2018
โค3
C++ Basic 2018 (Batch-2)
โœฅApplied ๐Ÿ“ Derivative of inverse csc functions. ๐Ÿ“‰ Y=cscโปยน(secx) find dy/dx? ๐Ÿค” Hint: cscโปยน means inverse of csc ๐Ÿ’ก @ProgrammingWithFaith2018
โœ…Explanation
    
Hint:(cscโป^1)'=
-f'(x) / f(x)sqrt((f(x)^2+1))

=-(secx)'/secx sqrt((secx)^2+1))
=-(-tanx secx) / secx sqrt(sec^2+1)
=tanx secx / secx tanx   
=1

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applied1_bagashaw_maltot-1.pdf
105.3 MB
โžก๏ธApplied Math I - Begashaw

โœ…Applied Math แŠฎแˆญแˆต แˆˆแˆแ‰ตแ‹ˆแˆตแ‹ฑ แ‰ฐแˆ›แˆชแ‹Žแ‰ฝ แ‰ แŒฃแˆ แ‹ˆแˆณแŠ แ‹จแˆ†แА แŠ แŒ‹แ‹ฅ แˆ˜แ…แˆแ แАแ‹แข แŠ แ‰ฅแ‹›แŠ›แ‹แŠ• แŒŠแ‹œ แˆแ‰ฐแŠ“ แ‹จแˆšแ‹ˆแŒฃแ‰ แ‰ต แŠฅแŠ•แ‹ฒแˆแˆ ConceptแŠฆแ‰ฝแŠ• แ‰ แ‹ฐแŠ•แ‰ฅ แŒแˆแ… แŠ แ‹ตแˆญแŒŽ แ‹จแˆšแ‹ซแ‰ฅแˆซแˆซ แАแ‹แข

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