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Differentiate w.r.t x using product rule...

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

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To differentiate the function \( y = x^3 \sin x \) with respect to \( x \) using the product rule, we will follow these steps: ### Step 1: Identify the functions We can identify the two parts of the product: - Let \( u = x^3 \) - Let \( v = \sin x \) ### Step 2: Differentiate \( u \) and \( v \) ...
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ICSE-VECTORS SCALARS ELEMENTARY CALCULUS -UNSOLVED PROBLEMS
  1. Differentiate w.r.t x using product rule . sqrt(x). sec x

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

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

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

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

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

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

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

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

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

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

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  12. Differentiate w.r.t x using quotient rule . (sin x+ cos x)//(sin x -...

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  13. Differentiate w.r.t x using quotient rule . (ax^(2)+bx+c)//(px^(2)+q...

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

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  15. Differentiate w.r.t x sqrt(5-6x^(2))

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  16. Differentiate w.r.t x tan (sqrt(x))

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  17. Differentiate w.r.t x sec (sec x)

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  18. Differentiate w.r.t x (1-cos x)//(1+ cos x)

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  19. Differentiate w.r.t x e^(x) log (sin 2x)

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  20. Differentiate the following w.r.t x sin^(-1)(2x//1+x^(2))

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