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DIPTI PUBLICATION ( AP EAMET)-DIFFERENTIATION -EXERCISE 1D
- 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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- If y = sqrt(sec 2x ) then y (2) =
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- If f (x) = (x ^(2))/(a +x) then f ''(a) =
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- If y = sqrt(ax) + (a ^(2))/(sqrt(ax))then y (1) , y (2) at x =a are
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- If y =a cos 2x +b sin 2x then y (2) + 4y =
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- If y = 3 ^(x), then (d ^(2) y)/(dx ^(2)) =
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- If y = xe^(-x) then y (2) + 2y (1) + y =
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- If y = x ^(2)cos 3x then y (2) at x=0 is
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- If x = e ^(2t ) cos, 3t, then (d ^(2) x)/(dt ^(2))at t = pi //2 is
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- Show that y=x+tanx satisfies the equation cos^(2)x(dy^(2))/(dx^(2))+2x...
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- If y= sin (sin x) then y (2) + (tan x) y (1) + y (cos ^(2) x)=
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- If y (k) is the kth derivative of y with respect to x,y= cos (sin x) ...
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