Calculus - Logarithmic Differentiation to find Derivative
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Use logarithmic differentiation to find the derivative
f(x)= e to the 2x power (2x- 1) to the 5th power / (x to the 3rd power + 5 to the second power times (4-7x)
Applied Calculus 9th edition by Laurence D Hoffman and Gerald L. Bradley
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Solution Summary
This solution contains step-by-step calculations to determine the derivative to determine the logarithmic differentiation.
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f(x) = {e^(2x) * (2x - 1)^5} / [x^3 + 5^{2(4 - 7x)}]
f(x) = {e^(2x) * (2x - 1)^5} / {x^3 + 5^(8 - 14x)}
Taking logarithms on both sides, we get
ln f(x) = ln [{e^(2x) * (2x - 1)^5} / {x^3 + 5^(8 - 14x)}]
ln f(x) = ln e^(2x) + 5 ln(2x - 1) - ln {x^3 + 5^(8 ...
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