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Finding second order derivatives - Normal form
Finding second order derivatives - Normal form
Last updated at March 11, 2021 by Teachoo
Ex 5.7, 4 Find the second order derivatives of the function logβ‘π₯ Let y = logβ‘π₯ Differentiating π€.π.π‘.π₯ . ππ¦/ππ₯ = (π(logβ‘π₯))/ππ₯ ππ¦/ππ₯ = 1/π₯ Again Differentiating π€.π.π‘.π₯ π/ππ₯ (ππ¦/ππ₯) = (π )/ππ₯ (1/π₯) (π^2 π¦)/(ππ₯^2 ) = (π(π₯^(β1)))/ππ₯ (π^2 π¦)/(ππ₯^2 ) = "β1" π₯^(β1β1) (π^2 π¦)/(ππ₯^2 ) = π₯^(β2) (π ^π π)/(π π^π ) = (βπ)/π^π