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If y=sinp x and yn is the n t h derivati...

If `y=sinp x` and `y_n` is the `n t h` derivative of `y ,` then `|[y, y_1,y_2],[y_3,y_4,y_5],[y_6,y_7,y_8]|i s` (a)1 (b) 0 (c) `-1` (d) none of these

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. Let y=e^(x sin x^3)+(t a n x)^x Find (dy)/(dx)

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

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

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

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

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

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

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

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

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  11. If y= 7x^5, then (dy)/(dx)

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  12. The nth derivative of the function f(x)=1/(1-x^2) [where in(-1,1) at ...

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  13. Let u(x) and v(x) be differentiable functions such that (u(x))/(v(x))=...

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  14. Statement 1: Let f: R -> R be a real-valued function AAx ,y in R such...

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  15. Statement 1: For f(x)=sinx ,f^(prime)(pi)=f^(prime)(3pi)dot Statement...

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  16. f:R^+ ->R is a continuous function satisfying f(x/y)=f(x)-f(y) AAx,y i...

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  17. fn(x)=e^(f(n-1)(x)) for all n in Na n df0(x)=x ,t h e n d/(dx){fn(x)...

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  18. Suppose f and g are functions having second derivative f'' and g' ' ev...

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  19. If y=e^(-x)cosxa n dyn+kn y=0,w h e r eyn=(d^(n y))/(dx^n)a n dkn are ...

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  20. If a function is represented parametrically by the equations x=(1+log(...

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