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Find from the definition, the derivative...

Find from the definition, the derivatives of
`(px+q)/(ax+b)`

Text Solution

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The correct Answer is:
`=(pax+pb-pax=aq)/((ax+b+a*0)(ax+b))=(pb-qa)/((ax+b)^(2))`
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CHHAYA PUBLICATION-DIFFERENTIATION-Example
  1. Find from the definition, the derivatives of x^(-3/(2)) at x = 3

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  2. Find from the definition, the derivatives of sqrt(px+q)

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  3. Find from the definition, the derivatives of (px+q)/(ax+b)

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  4. Find from the definition, the derivatives of (1)/(sqrt(ax+b))

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  5. Find from the definition, the derivatives of sqrt(ax^(2)+bx+c)

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  6. Find from the definition, the derivatives of cos^(2)x

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  7. Find from the definition, the derivatives of sin(x^(2))

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  8. Find from the definition, the derivatives of tan^(-1)x

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  9. Find from the definition, the derivatives of sqrt(cotx)

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  10. Find from the definition, the derivatives of log(sinx)

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  11. Find from the definition, the derivatives of cos(logx)

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  12. From first principle find the derivatives of each of the following fun...

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  13. If f (x) is differentiable at x = h , find the value of lim(s to ...

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  14. Find from difinition the derivatives of x^(2)e^(x)

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  15. Find from difinition the derivatives of x sin x

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  16. Find from definition the derivatives of x^(2)cosx

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  17. Find from definition the derivatives of (1)/(f(x))

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  18. Find from definition the derivatives of 3sqrt(cos x)

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  19. Find the derivatives of e^sqrt(cot x)

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  20. Given, f (x) =(x-1)/(2x^(2)-7x+5)' when x ne 1 =-(1)/(3) when...

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