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प्रश्न
`(3x + 4)/(5x^2 - 7x + 9)`
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उत्तर
`d/(dx) ((3x + 4)/(5x^2 - 7x + 9))`
= `((5x^2 - 9x + 9) d/(dx) (3x + 4) - (3x + 4) * d/(dx) (5x^2 - 7x + 9))/(5x^2 - 7x + 9)^2` .....[Using quotient rule]
= `((5x^2 - 7x + 9)(3) - (3x + 4)(10x - 7))/(5x^2 - 7x + 9)^2`
= `(15x^2 - 21x + 27 - 30x^2 + 21x - 40x + 28)/(5x^2 - 7x + 9)^2`
= `(-15x^2 - 40x + 55)/(5x^2 - 7x + 9)^2`
= `(55 - 40x - 15x^2)/(5x^2 - 7x + 9)^2`
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