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Using the power rule of logarithms: $\log_a(x^n)=n\cdot\log_a(x)$
Learn how to solve differential equations problems step by step online.
$\frac{d}{dx}\left(\frac{1}{2}\ln\left(\frac{x-5}{x^4+4}\right)\right)$
Learn how to solve differential equations problems step by step online. Find the derivative using logarithmic differentiation method d/dx(ln(((x-5)/(x^4+4))^1/2)). Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x). The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. The derivative of a sum of two or more functions is the sum of the derivatives of each function.