1
The function $f(x)=\begin{cases}{{(1+2x)}^{1/x}} & {,x\ne0} \\ {{e}^2} & {,x=0}\end{cases}$, is
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Solution
4
If $x^my^n$=$(x+y)^{m+n}$, then $\frac{dy}{dx}$ is
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Solution
3
If $y={\tan }^{-1}\lgroup{\frac{3x-{x}^3}{1-3{x}^2}}\rgroup\, ,\, \frac{-1}{\sqrt[]{3}}{\lt}x{\lt}\frac{1}{\sqrt[]{3}}$ then $\frac{dy}{dx}$ is
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Solution
Incorrect question
1
If $y=\sin ^{-1}(\frac{{x}^2+1}{\sqrt[]{1+3{x}^2+{x}^4}}),\, (x>0),$ then $\frac{dy}{dx}$=
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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 $\frac{d^{2}x}{dy^{2}}$
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Solution
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