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DIPTI PUBLICATION ( AP EAMET)-DIFFERENTIATION -EXERCISE 1D
- y = Sin ^(-1) x implies ( 1- x ^(2)) (d ^(2) y)/(dx ^(2)) =
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- If y = cos (3 Cos ^(-1) x ) then (dy )/(dx ^(3))=
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- y = sin (m Sin ^(-1)x ) implies ( 1- x ^(2)) y (2) - xy (1) =
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- If y = sin (7 Sin ^(-1) x) then (1-x ^(2)) y (2) - xy (1)=
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- If y = Tan ^(-1) ((cos x- sin x)/(cos x + sin x)) then (d ^(2) y)/(dx ...
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- If y = x ^(n-1) log x, then xy (1)=
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- If y = log sin x then y (2) =
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- If y = (log x )/(x) then y (1) (1) =
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- If y =a cos mx + b sin mx, then (d ^(2)y)/(dx ^(2))=
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- If y = (1+ x ^(2))Tan^(-1) x then y (2) =
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- If y = e ^(-x) cos x then y (4) =
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- If y = (5x +7)/(2x -3) then y (2) =
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- If y = ( ax + b)/( cx +d) then 2y (1) y (3)=
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- If y = e ^(sqrtx)+ e ^(-sqrtx) then xy''+y'//2=
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- If y = log (x + sqrt(x ^(2) + 1)) then y (2)(1) =
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- If y= log (x + sqrt(x ^(2) -1)) then, y (2) (sqrt2) =
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- If (1)/(1 + x+ x ^(2) + x ^(3)) then y (2) (0) =
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- If f (x) (x ^(3))/( x ^(2) -1) then f '' (0) =
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- If y =a + bx ^(2),a,b arbitary constnats, then
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- If y = sqrt(cos 2x ) then y (d ^(2) y )/(dx ^(2)) + 2y ^(2) =
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