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AAKASH SERIES-DIFFRENTATION-PRACTICE SHEET (EXERCISE - I) (LEVEL - I)(Straight Objective Type Questios)
- If y = e^("sin"^2 x + "sin"^4x + "sin"^6x +...+oo), then (dy)/(dx) =
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- If x+ y = 3e^2 then d/(dx)(x^y)=0 for x =
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- If x = t ^(2), y = t ^(3) then (d ^(2) y)/(dx ^(2)) =
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- If y= sin x +e^(x) then (d^2x)/(dy^2) =
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- If sqrt(x+y)+sqrt(y-x)=c , then (d^2y)/(dx^2) =
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- The nth derivative of xe^x vanishes when
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- If y^2 =ax^2 + bx +c, then y^3(d^2y)/(dx^2) is
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- If P(x) =ax^3+bx^2+cx+d and P(0) = 4, P^(1)(0) = 3,P^(11)(0)=4,P^(111...
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- y=x+e^x , then (d^2x)/(dy^2) is equal to
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- If f(x)=|(Sinx , 1, 0),(x - pi/2,Sinx,1),(0,1,Sinx)| then (df)/(dx) at...
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- If x = sint , y = cos pt , then
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- If f(x) = |(x,x^2,x^3),(1,2x,3x^2),(0,2,6x)|, then f^(1)(x)=
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- Let y = t^(10) +1 and x = t^8 +1 . Then (d^2y)/(dx^2) is
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- If x = log p and y = 1/p then
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- If y = ax^(n+1)+bx^(n+1) then x^2(d^2y)/(dx^2) is equal to
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- If x = phi (t), y = Psi(t) then (d^2y)/(dx^2) is
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- If x = a sec^2 theta, y = aTan^3 theta then (d^3y)/(dx^3) =
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- x = cos theta, y = sin 5 theta implies (1- x ^(2)) (d^(2)y)/(dx ^(2)) ...
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- If x = e^(t)sint, y =e^(t)cost then (d^2y)/(dx^2) at t = pi is
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- If alpha be a repeated root of a quadratic equation f(x) = 0 and A(x)...
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