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Finding Derivatives and Logarithmic Differentiation

2. Find d y / d x :

a) x^2 + xy − y^3 = x y ^2

b) sin ^ 2 y = y + 2

c) y = sqrt((x^2+1)/(x^2 - 5))

d) y = x^(ln sqrt(x))

3. If x ^y = y ^x , use logarithmic differentiation to compute dy / dx at the point (3, 3).

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Finding Derivatives and Logarithmic Differentiation are investigated. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.

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