Differentiation

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I Differentiated it
d tan(cos^-1x)d x
hint given is
=>tanÎ¸=1√1+x²
which I think is not possible in any way
Answer given inthe book is
= -3x(1+x²)^-3/2

the way i did the sum is as follows

cos^-1x=Î¸
=>tanÎ¸=√1-x²x
.'.
= x d√1-x²dx - √1-x²dxdxx²
= -1x²√1-x² ................(ans)

P.S. Suggest the correct ans

#Physics #General Physics

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Vivek @ Born this Way ·2012-01-08 06:02:36

You didn't looked at the right side of the expression you had differentiated.

I.e., tanÎ¸ = √1-x²x ........I

When You differentiate, the right side is as you have shown but,

sec²Î¸ . dÎ¸dt = expression you have written ....

Now, Find sec²Î¸ . dÎ¸dt from relation I

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Differentiation

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