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Find the derivative of f(x)=(x^(2)+1)cos...

Find the derivative of `f(x)=(x^(2)+1)cos x`

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V PUBLICATION-LIMITS AND DERIVATIVES-QUESTION BANK
  1. Find the derivative of (x + a)/(cos x).

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  2. Find the derivative of x^4 ( 5 sin x - 3 cos x)

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  3. Find the derivative of f(x)=(x^(2)+1)cos x

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  4. Differentiate the following with respect to x. (ax^2+sin x)(p+qcos x)

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  5. Find the derivative of (x + cos x) (x- tan x)

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  6. Differentiate (4x+5sin x)/(3x+7 cos x)

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  7. Find the derivative of f(x)=(x^(2)cos (pi/4))/(sin x)

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  8. Find the derivative of [x/(1+tan x)]

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  9. Differentiate (x+sec x)(x-tan x)

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  10. Evaluatelim(x rarr 1) (2/(1-x^(2))+1/(x-1))

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  11. Evaluate: lim(x rarr 0) x/(sqrt(a+x)-sqrt(a-x))

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  12. Find the value of k, if lim(x rarr 1) (x^(4)-1)/(x-1) = lim(x rarr k)(...

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  13. Evaluate lim(x rarr 1) ((x + x^2 + .........+ x^n)-n)/(x - 1)

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  14. Evaluate the following limits lim(x rarr 0) (tan x - sin x)/x^(3)

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  15. Evaluate: lim(x rarr 0) (sin 2x + sin 6x)/(sin 5x - sin 3x)

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  16. Evaluate: (i) lim(x rarr 1) (x^(2)+6x+4) (ii)lim(x rarr 4) (x^(3)+4)/(...

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  17. Evaluate lim(x rarr 1) (sqrt(x^(2)-1)+sqrt(x-1))/(sqrt(x^(2)-1))

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  18. Find k so that lim(x rarr 2) f(x) exists, where f(x) = {(2x+3 if xle2)...

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  19. If for the function h, given by h(x) = kx^(2)+7x-4, h^(')(5)=97, find ...

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  20. If u, v, w are three differentiable functions of x, prove that d/dx ...

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