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Logarithmic Differentiation : y = x √(x^2 - 1); y = x^2(√(3x - 2)/(x - 1)^2 and y = x^2/x

Find dy/dx using logarithmic differentiation

(a) y = x √(x^2 - 1)

Answer: 2x^2 - 1/√(x^2 - 1)

(b) y = x^2(√(3x - 2)/(x - 1)^2

Answer 3x^3 - 15x^2 + 8x/2(x - 1)^3 √(3x - 2)

(c) y = x^2/x

Answer : 2(1-ln x)x^2/x-2

Solution Summary

Derivatives are found using logarithmic differentiation.

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