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Phrases Differentiation PYQ


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The function f(x)={(1+2x)1/x,x0e2,x=0, is





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If xmyn=(x+y)m+n, then dydx is





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If y=tan13xx313x2,13<x<13 then dydx is





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Incorrect question

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If y=sin1(x2+11+3x2+x4),(x>0), then  dydx=





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Differential coefficient of  with respect to  to





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If y = cosx, find dx/dy





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Let y = (cos x2)2
 = 2 (cos x2) sin x2 .2x 
= -4 (cos x2) sin x 

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The derivative of (x3 + ex + 3x + cotx) with respect to x is





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Solution

Let y=x+ e+ 3+ cotx
Now, 
 = 3x+ e+ 3x log3 - cosec2 x

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Differentiate [- log(log x),  x > 1] with respect to x





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Let y = - log(log x), x>1
On differentiating both sides,
 = - (log (log x))
 (log x)
 

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With the usual notation d2xdy2





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