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- lf y=sqrt((1-x)/(1+x)) find dy/dxand prove that (1-x^2)(dy)/(dx)+y=0
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- (d^(20))/(dx^(20))(2cosxcos3x)is equal to (a)2^(20)(cos2x-2^(20)cos3x...
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- Differentiate x^2+\ 1 with respect to x .
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- Let g(x)={(x^2+xtanx-xtan2x)/(a x+tanx-tan3x),x!=0 0,x=0 If g^(prime...
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- Given y= Sin 2x + x^3 , (dy)/(dx)
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- Find the derivative of f(x)=e^(4x) + Cos 3x
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- A nonzero polynomial with real coefficient has the property that f(x)=...
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- Suppose f(x)=e^(a x)+e^(b x) , where a!=b , and that f^(prime prime)(x...
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- Let z=(cosx)^5a n dy="sin"xdot Then the value of 2(d^2z)/(dy^2)a tx=(...
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- A function is reprersented parametrically by the equations x=(1+t)/(t^...
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- Let f be a twice differentiable function such that f"(x) = -f(x) , and...
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- Let y=e^(x sin x^3)+(t a n x)^x Find (dy)/(dx)
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- If a x^2+2h x y+b y^2=1,t h e n(d^2y)/(dx^2) is (a)(h^2-a b)/((h x+b...
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- If y=sinp x and yn is the n t h derivative of y , then |[y, y1,y2],[y3...
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- A function f, defined for all positive real numbers, satisfies the eq...
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- If y=x-x^2, then the derivative of y^2 with respect to x^2 is (a)1...
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- The first derivative of the function [cos^(-1)(sinsqrt((1+x)/2))+x^x]...
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- The function f(x)=e^x+x , being differentiable and one-to-one, has a ...
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- Let h(x) be differentiable for all x and let f(x)=(k x+e^x)h(x) , w...
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- Suppose y=e^(a x)+e^(b x), find y''
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