Question

ample 11:)
Find the derivative of y = log (x2 – 2x + 3)3
ition:slove this question​

Answer 1

$y=\log (x^2-2x+3)^3\\</p><p>\text{Use chain rule:}\\</p><p>\underline{\text{Trick}}\\</p><p>\text{Derivative is multiplication of derivatives of each function.}\\</p><p>\text{The functions are:}\\</p><p>\mathrm {1)log}\\</p><p>\mathrm{ 2) (x^2-2x+3)^3} \\\mathrm{ 3) x^2-2x+3}\\</p><p></p><p>\implies \frac{dy}{dx}=\frac{3(x^2-2x+3)^2 \cdot (2x-2)}{(x^2-2x+3)^3}\\</p><p>=\frac{3\times 2(x-1)}{x^2-2x+3}\\</p><p>=\frac{6(x-1)}{x^2-2x+3}$