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Differentiate w.r.t x using quotient rul...

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

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To differentiate the function \( y = \frac{e^x}{x} \) with respect to \( x \) using the quotient rule, we can follow these steps: ### Step 1: Identify \( u \) and \( v \) In the function \( y = \frac{u}{v} \), we identify: - \( u = e^x \) - \( v = x \) ### 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 . x sin x log x

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Differentiate the following w.r.t x cos^(-1) (sqrt(1+x//2))

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  19. Differentiate the following w.r.t x tan^(-1) ((cos x - sin x)/(cos x...

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  20. Find (dy)/(dx) " if " sin x + cos y = xy "

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