if sinx=ysin(x+b) show that (dy)/(dx)=(s...

if `sinx=ysin(x+b)` show that `(dy)/(dx)=(sinb)/(sin^2(x+b))`

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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-REVISION EXERCISE

If the derivative of tan^(-1)(a+b x) takes the value 1 at x=0, prove t...
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Using the fact that s in (A + B) = s in A cos B + cos A s in Band the ...
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If sqrt(y+x) +sqrt(y-x) =c show that dy/dx = y/x -sqrt((y^2/x^2)-1)
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if sinx=ysin(x+b) show that (dy)/(dx)=(sinb)/(sin^2(x+b))
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If xsin(a+y)+sinacos(a+y)=0,p rov et h a t (dy)/(dx)=(sin^2(a+y))/(si...
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If y=xsin(a+y),p rov et h a t(dy)/(dx)=(sin^2(a+y))/(sin(a+y)-ycos(a+y...
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Differentiate log[log(logx)] w.r.t. x.
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If y=x^(cotx)+(2x^(2)-3)/(x^(2)+x+2), find (dy)/(dx).
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