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SIA PUBLICATION-DIFFERENTIATION -Problems
- If y = cos^(-1)((a^(2)-x^(2))/(a^(2)+x^(2)))+sin^(-1)((2ax)/(a^(2)+x^(...
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- f (x) = sin x + cos x implies f ((pi)/(4)) f ^((iv)) ((pi)/(4)) =
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- If y = sin(m sin^(-1)x), then (1-x^(2))y(2) - xy(1) is equal to (Here,...
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- x = (1-sqrt(y))/(1+sqrt(y)) rArr(dy)/(dx) is equal to
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- x = cos^(-1)((1)/(sqrt(1+t^(2)))),y = sin^(-1)((t)/(sqrt(1+t^(2))))rAr...
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- (d)/(dx ) [a Tan ^(-1) x + b log ((x-1)/(x +1)) ] = (1)/(x ^(4) - 1) i...
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- y=e^(asin^(-1x))rArr(1-x^(2))y(n+2)-(2n+1)xy(n+1) is equal to
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- If x = a{costheta + log tan((theta)/(2))} andy = a sin theta, then (dy...
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- If y = sin (log (e) x) then (x ^(2) (d ^(2) y)/(dx ^(2)) +x (dy )/(dx)...
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- If 2x^(2) - 3xy + y^(2) + x + 2y - 8 = 0, then (dy)/(dx) is equal to
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- If y = log {((1 +x)/(1-x )) ^(1//4) } -1/2 Tan ^(-1) (x ), then (dy)/(...
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- x = cos theta, y = sin 5 theta implies (1- x ^(2)) (d^(2)y)/(dx ^(2)) ...
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- x ^(y) =y ^(x) implies x ( x-y log x ) (dy)/(dx) =
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- If f(x) = e^(x) sin x, then f^((6)) (x) is equal to
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- IF f : R to R is an even function which is twice differentiable on R a...
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- Statement I : f(x) = ax^(41) + bx^(-40) rArr (f'(x))/(f(x)) = 1640...
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- f (x) = 10 cos x + (13 + 2x) sin x implies f''(x) + f(x) =
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- x sqrt(1 + y) + y sqrt(1 + x) =0implies (dy)/(dx)=
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- If x ^(y) = e ^(x -y) then (dy)/(dx) =
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- y = Sin ^(-1) x implies ( 1- x ^(2)) (d ^(2) y)/(dx ^(2)) =
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