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Find (dy)/(dx) for the functions: y=(x+s...

Find `(dy)/(dx)` for the functions: `y=(x+sinx)/(x+cosx)`

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. (c)answer any three questions: 1. if y=sin ^(-1) ((2x)/(1+x^2)) , find...

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  2. If y=tan^(-1)((3x-x^3)/(1-3x^2)),-1/(sqrt(3))ltxlt1 /(sqrt(3)), then f...

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  3. Find (dy)/(dx) for the functions: y=(x+sinx)/(x+cosx)

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  4. Find the derivative of the function given by f(x)=(1+x)(1+x^2)(1+x^4)(...

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  5. Find (dy)/(dx) if y=sec^(-1)((sqrt(x)+1)/(sqrt(x)-1))+sin^(-1)((sqrt(x...

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  6. Let f(x)=xsinpix ,\ x >0 . Then for all natural numbers n ,\ f^(pr...

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  7. Find (dy)/(dx) if y=tan^(-1)((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x))

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  8. If y=sec^(-1)(1/(2x^2-1));0ltxlt (sqrt(2)), then find= (dy)/(dx)

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  9. (d^2x)/(dy^2) equals: (1) ((d^2y)/(dx^2))^(-1) (2) -((d^2y)/(dx^2)...

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  10. Find (dy)/(dx) if y=log{e^x((x-2)/(x+2))^(3/4)}

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  11. let f(x)=2+cosx for all real x. Statement 1: For each real t, there e...

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  12. Differentiate the function with respect to x using the first principle...

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  13. Differentiate the function with respect to x using the first principle...

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  14. Differentiate the following functions with respect to x from first...

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  15. If f(x) is differentiable and strictly increasing function, then the v...

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  16. If f(x)=[2x]sin3pix then prove that f'(k^(+))=6kpi(-1)^(k), (where [.]...

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  17. lim(h->0) (f(2h+2+h^2)-f(2))/(f(h-h^2+1)-f(1)) given that f'(2)=6 and ...

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  18. Evaluate lim(h->0)((a+h)^2sin^(-1)(a+h)-a^2sin^(-1)a)/h

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  19. If x^2+y^2=1, then (a)y y^('')-2(y^(prime))^2+1=0 (b)yy^('')+(y...

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  20. Using the first principle, prove that d/(dx)(1-x^2)=-2x

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