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DIPTI PUBLICATION ( AP EAMET)-DIFFERENTIATION -EXERCISE 1B
- The derivative of Tan ^(-1)"" (sqrt(1 + x ^(2))-1)/(x) w.r.t. Tan ^(-1...
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- The derivative of Sin ^(-1) (3x -4x^(3)) w.r.t. Tan ^(-1)"" (x )/( sqr...
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- If y = sqrt(sin x + y ) then (dy)/(dx) =
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- If y = sqrt( cos x + y) thnd (dy)/(dx) =
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- If sin y = x sin (alpha + y) then (dy)/(dx) =
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- If cos y =x cos (a + y) then (dy)/(dx)=
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- If Cos ^(-1) (( x ^(2) - y ^(2))/(x ^(2) + y ^(2)))=k (a constnat), th...
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- If sqrt(1+ x ^(2)) + sqrt(1 + y ^(2)) =a ( x -y) then (dy)/(dx) =
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- If sqrt(1- x ^(2)) + sqrt(1- y ^(2) ) = a (x -y) then (dy)/(dx)=
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- If y= x ^(y) then (dy)/(dx) =
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- If x ^(y) = e ^(x -y) then (dy)/(dx) =
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- If x ^(y) = log x then (dy)/(dx) at x =e is
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- x ^(y) =y ^(x) implies x ( x-y log x ) (dy)/(dx) =
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- (d)/(dx){e ^(x^(e))+ x ^(e^(x)) + e ^(x ^(x))}=
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- If (cos x ) ^(y) = (sin y) ^(x) then (dy)/(dx)=
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- If y = sqrt(x + sqrt(x + sqrt(x + .....oo)))then (dy)/(dx) =
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- If y = sqrt(tan x + sqrt(tan x + sqrt(tan + ....oo))) then (dy)/(dx)=
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- If y = sqrt(sin x + sqrt(sin x + sqrt(sin x + ....oo))) then (dy)/(dx)
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- If y = x ^(x ^(x.......prop)) then (dy)/(dx)=
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- If y = (sin x) ^((sin x) ^((sin x) ^(...oo))), then (dy)/(dx)=
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