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SIA PUBLICATION-DIFFERENTIATION -Problems
- If x^(2) + y^(2) = t + (2)/(t) and x^(4) + y^(4) = t^(2) + (4)/(t^(2))...
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- If y = tan^(-1)((3x-x^(3))/(1-3x^(2))) + tan^(-1) ((4x-4x^(3))/(1-6x^(...
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- If x^(2) + y^(2) = t + (1)/(t) and x^(4) + y^(4) = t^(2) + (1)/(t^(2)...
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- If x = at^(2) and y = 2 at, then (d^(2)y)/(dx^(2)) at t = (1)/(2) is
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- If y = tan^(-1)((sqrt(1 + a^(2)x^(2))-1)/(ax)) , then (1+a^(2)x^(2))y^...
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- If f(x) = (x)/(1 + x) and g(x) = f(f(x)), then g(x) is equal to
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- f (x)= (1)/(1+ (1)/(x))g (x) =(1)/(1 + (1)/(f(x)))implies g'(2)=
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- sqrt((y)/( x))+ sqrt((x)/(y))= 2 implies (dy)/(dx) =
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- (d)/(dx) [(x +1)(x^2+1)(x ^(4) + 1) (x ^(8) +1)]=(15 x ^(p) -16x^q+1) ...
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- Cos^(-1) ((y)/(b)) =2 log "" ((x)/(2)) , x gt 0 implies x ^(2) (a ^(2)...
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- If u = log (x^(3) + y^(3) + z^(3) - 3xyz), then (x + y + z)(u(x) + u(y...
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- f (x) = log (e ^(x) ((x-2)/(x +2))^(3//4))impliesf'(0)=
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- If xy ne 0, x + y ne 0 and x^(m)y^(n) = (x + y)^(m+n), where, m, n ne ...
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- x ^(2) + y^(2) = t + 1/t, x ^(4) + y^(4) = t ^(2) + (1)/( t ^(2)) impl...
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- If f(x) = (X^(2) -1)^(7), then f^((14))(x) is equal to
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- If y = (1 + x) (1 + x^(2)) .. (1 + x^(2n)), then ((dy)/(dx))(x = 0) is...
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- If Cos ^(-1) (( x ^(2) - y ^(2))/(x ^(2) + y ^(2)))=k (a constnat), th...
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- If f(x) =|x| + |sin x| for x in (-(pi)/(2),(pi)/(2)), then its left h...
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- If y = (lot (e) x)/(x) and z = log (e) x, then (d ^(2) y)/(dz^(2)) + ...
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- IF f(x) = (cosx)(cos2x)… (cosnx), then f(x)+sum(t prop1)^(1)(rtanrx)f(...
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