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If f(x)=sin^(-1)cosx , then the value of...

If `f(x)=sin^(-1)cosx ,` then the value of `f(10)+f^(prime)(10)` is (a)`11-(pi)/2` (b) `(pi)/2-11` (c)`(5pi)/2-11` (d) none of these

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. f(x)+f(y)=f((x+y)/(1-xy)) ,for allx,yinR.(xy!=1),and lim(x->0) f(x)/x=...

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  2. Let f: R->R satisfying |f(x)|lt=x^2,AAx in R be differentiable at x...

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  3. If f(x)=sin^(-1)cosx , then the value of f(10)+f^(prime)(10) is (a)11-...

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  4. If (sinx)(cosy)=1/2, then (d^2y)/(dx^2) at (pi/4,pi/4) is (a) -4 (b) -...

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  5. Suppose p(x) = a0 + a1x + a2x^2 +…+ anx^n. If |p(x)| le |e^(x-1) - 1| ...

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  6. Let f(x+y)=f(x)dotf(y) for all xa n dydot Suppose f(5)=2a n df^(prime)...

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  7. A function f satisfies the condition f(x)=f^(prime)(x)+f''(x)+f'''(x)....

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  8. Let f(x y)=f(x)f(y)AAx , y in R and f is differentiable at x=1 such...

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  9. Let f(x) be a polynomial of degree 3 such that f(3)=1,f^(prime)(3)=-1,...

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  10. Find (dy)/(dx) for the functions: y=x^3e^xsinx

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  11. d/(dx)[tan^(-1)((sqrt(x)(3-x))/(1-3x))] is (a) 1/(2(1+x)sqrt(x)) (b...

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  12. If y=tan^(-1)(1/(1+x+x^2))+tan^(-1)(1/(x^2+3x+3))+tan^(-1)(1/(x^2+5x+7...

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  13. Let g(x) be the inverse of an invertible function f(x) which is diff...

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  14. If sqrt(1-x^6)+sqrt(1-y^6) = a(x^3-y^3) then prove that (dy)/(dx)= x^2...

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  15. Let f: RrarrR be such that f (1) = 3 and f' (1) = 6 Then, lim(xrarr0)(...

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  16. if cos y=x cos (a+y), (a!= 0) , then show that dy/dx= cos ^2(a+y)/sin ...

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  17. Let f(x)=|[x^3,sinx,cosx],[6,-1, 0],[p, p^2,p^3]|, where p is a cons...

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  18. Find (dy)/(dx) for y=sin^(-1)(cosx)

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  19. True or False -The derivative of an even function is always an odd fun...

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  20. If y=sqrt((a-x)(x-b))- (a-b)tan^(-1)sqrt((a-x)/(x-b)) then (dy)/(dx)...

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