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Section 3.13 : Logarithmic Differentiation
For problems 1 – 3 use logarithmic differentiation to find the first derivative of the given function.
- \(f\left( x \right) = {\left( {5 - 3{x^2}} \right)^7}\,\,\sqrt {6{x^2} + 8x - 12} \) Solution
- \(\displaystyle y = \frac{{\sin \left( {3z + {z^2}} \right)}}{{{{\left( {6 - {z^4}} \right)}^3}}}\) Solution
- \(\displaystyle h\left( t \right) = \frac{{\sqrt {5t + 8} \,\,\,\sqrt[3]{{1 - 9\cos \left( {4t} \right)}}}}{{\sqrt[4]{{{t^2} + 10t}}}}\) Solution
For problems 4 & 5 find the first derivative of the given function.