Find the derivative using logarithmic differentiation method $\frac{d}{dx}\left(\frac{\left(x^5+3x\right)^4}{\cos\left(x\right)}\right)$

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$y=\frac{\left(x^5+3x\right)^4}{\cos\left(x\right)}$

Learn how to solve logarithmic differentiation problems step by step online. Find the derivative using logarithmic differentiation method (d/dx)(((x^5+3x)^4)/(cos(x)). To derive the function \frac{\left(x^5+3x\right)^4}{\cos\left(x\right)}, use the method of logarithmic differentiation. First, assign the function to y, then take the natural logarithm of both sides of the equation. Apply natural logarithm to both sides of the equality. Derive both sides of the equality with respect to x. The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator.