1
The function f(x)={(1+2x)1/x,x≠0e2,x=0, is
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Solution
4
If xmyn=(x+y)m+n, then dydx is
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Solution
3
If y=tan−1⟮3x−x31−3x2⟯,−1√3<x<1√3 then dydx is
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Solution
Incorrect question
1
If y=sin−1(x2+1√1+3x2+x4),(x>0), then dydx=
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Solution
1
Differential coefficient of

with respect to

to
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Solution
2
If y = cos2 x2 , find dx/dy
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Solution
Let y = (cos x
2)
2
= 2 (cos x
2) sin x
2 .2x
= -4 (cos x2) sin x2
1
The derivative of (x3 + ex + 3x + cotx) with respect to x is
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Solution
Let y=x
3 + e
x + 3
x + cotx
Now,

= 3x
2 + e
x + 3
x log3 - cosec
2 x
1
Differentiate [- log(log x), x > 1] with respect to x
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Solution
Let y = - log(log x), x>1
On differentiating both sides,

= -

(log (log x))
=

(log x)
=

=

4
With the usual notation d2xdy2
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Solution
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