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Differentiate the following w.r.t x ...

Differentiate the following w.r.t x
`x^(2) +3x +3/x`

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To differentiate the function \( f(x) = x^2 + 3x + \frac{3}{x} \) with respect to \( x \), we will apply the rules of differentiation step by step. ### Step 1: Rewrite the function First, we can rewrite the function for easier differentiation: \[ f(x) = x^2 + 3x + 3x^{-1} \] This makes it easier to apply the power rule. ...
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ICSE-VECTORS SCALARS ELEMENTARY CALCULUS -UNSOLVED PROBLEMS
  1. Differentiate the following w.r.t x x^(5//2)

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  2. Differentiate the following w.r.t x 4x^(3)-10 -6x^(2)

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  3. Differentiate the following w.r.t x x^(2) +3x +3/x

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  4. Differentiate the following w.r.t x tan(3x+1)

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  5. Differentiate the following w.r.t x cos 3x

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  6. Differentiate the following w.r.t x sqrt(sinx)

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  7. Differentiate the following w.r.t x 3x^(2)+12x - 11//x

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  8. Differentiate the following w.r.t x tan x+2 sin + 3 cos x - 1/2 lo...

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  9. Differentiate w.r.t x using product rule . (5x+2) (4-3x)

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  10. Differentiate w.r.t x using product rule . sqrt(x). sec x

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  11. Differentiate w.r.t x using product rule . (ax^(2)+bx+c)(x-d)

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  12. Differentiate w.r.t x using product rule . x^(3) sin x

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  13. Differentiate w.r.t x using product rule . x sin x log x

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  14. Differentiate w.r.t x using product rule . (1+ 2 tan x) ( 5+4 cos x)

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  15. Differentiate w.r.t x using quotient rule . e^(x)//x

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  16. Differentiate w.r.t x using quotient rule . (x^(3)+ 3x+1)//(x^(2)-x+...

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  17. Differentiate w.r.t x using quotient rule . (x^(4)+1)//(x^(2)-1)

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  18. Differentiate w.r.t x using quotient rule . x//(1+ tanx)

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  19. Differentiate w.r.t x using quotient rule . log x/x

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  20. Differentiate w.r.t x using quotient rule . (sec x -1)//( sec x+1)

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