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

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

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To differentiate the function \( (x \sin x)^3 \) with respect to \( x \), we will follow these steps: ### Step 1: Define the function Let \( y = (x \sin x)^3 \). ### Step 2: Use the chain rule To differentiate \( y \) with respect to \( x \), we can use the chain rule. The chain rule states that if \( y = u^n \), then: \[ ...
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ICSE-VECTORS SCALARS ELEMENTARY CALCULUS -UNSOLVED PROBLEMS
  1. Differentiate w.r.t x using quotient rule . (sin x+ cos x)//(sin x -...

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

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

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

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

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

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

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

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

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

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

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

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  13. Differentiate w.r.t x (sinx)^(x) +sin(x^(x))

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  14. Differentiate w.r.t x sqrt(x) (2x+3)^(2)//sqrt(x+1)

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  15. If x = a ( t+ sin t) and y = a (1- cos t) " find " (dy)/(dx)

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  16. Find (dy)/(dx) when x = a cos theta and y = b sin theta

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  17. Find (dy)/(dx) when x = a sec theta and y = b tan theta

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  18. Find the velocity of a particle moving on a line at t = 3 seconds , if...

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  19. Find the velocity of a particle moving on a line at t = 3 seconds , if...

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  20. At time t , the displacement of a particle moving in a straight line ...

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