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

Differentiate the following w.r.t x
`x^(5//2)`

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AI Generated Solution

To differentiate the function \( f(x) = x^{\frac{5}{2}} \) with respect to \( x \), we will use the power rule of differentiation. The power rule states that if \( f(x) = x^n \), then the derivative \( f'(x) \) is given by: \[ f'(x) = n \cdot x^{n-1} \] ### Step-by-Step Solution: ...
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ICSE-VECTORS SCALARS ELEMENTARY CALCULUS -UNSOLVED PROBLEMS
  1. Differentiate the following w.r.t x 16x^(8)

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

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  3. Differentiate the following w.r.t x x^(5//2)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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