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Let g(x)={(x^2+xtanx-xtan2x)/(a x+tanx-t...

Let `g(x)={(x^2+xtanx-xtan2x)/(a x+tanx-tan3x),x!=0 0,x=0` If `g^(prime)(0)` exists and is equal to nonzero value `b ,` then `52 b/a` is equal to _____

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. (d^(20))/(dx^(20))(2cosxcos3x)is equal to (a)2^(20)(cos2x-2^(20)cos3x...

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  2. Differentiate x^2+\ 1 with respect to x .

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  3. Let g(x)={(x^2+xtanx-xtan2x)/(a x+tanx-tan3x),x!=0 0,x=0 If g^(prime...

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  4. Given y= Sin 2x + x^3 , (dy)/(dx)

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  5. Find the derivative of f(x)=e^(4x) + Cos 3x

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  6. A nonzero polynomial with real coefficient has the property that f(x)=...

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  7. Suppose f(x)=e^(a x)+e^(b x) , where a!=b , and that f^(prime prime)(x...

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  8. Let z=(cosx)^5a n dy="sin"xdot Then the value of 2(d^2z)/(dy^2)a tx=(...

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  9. A function is reprersented parametrically by the equations x=(1+t)/(t^...

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  10. Let f be a twice differentiable function such that f"(x) = -f(x) , and...

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  11. Let y=e^(x sin x^3)+(t a n x)^x Find (dy)/(dx)

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  12. 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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  13. If y=sinp x and yn is the n t h derivative of y , then |[y, y1,y2],[y3...

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  14. A function f, defined for all positive real numbers, satisfies the eq...

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  15. If y=x-x^2, then the derivative of y^2 with respect to x^2 is (a)1...

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  16. The first derivative of the function [cos^(-1)(sinsqrt((1+x)/2))+x^x]...

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  17. The function f(x)=e^x+x , being differentiable and one-to-one, has a ...

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  18. Let h(x) be differentiable for all x and let f(x)=(k x+e^x)h(x) , w...

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  19. Suppose y=e^(a x)+e^(b x), find y''

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  20. If y=((a-x)sqrt(a-x)-(b-x)sqrt(x-b))/((sqrt(a-x)+sqrt(x-b)) ,then (d...

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