class 12 maths continuity and differentiability

${(3{x^2} - 9x + 5)^9}$

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📘 Continuity and Differentiability NCERT Misc. ,Q.1,Page 191 SA

${(3{x^2} - 9x + 5)^9}$

Official Solution

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Let$y = {(3{x^2} - 9x + 5)^9}$ ...(i)

Differentiating (i) w.r.t. x, we get
$\cfrac{{dy}}{{dx}} = 9{(3{x^2} - 9x + 5)^8} \cdot (6x - 9) = 27{(3{x^2} - 9x + 5)^8} \cdot (2x - 3)$

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