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Derive both sides of the equality with respect to $x$
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$\frac{d}{dx}\left(\ln\left(y\right)\right)=\frac{d}{dx}\left(x-6\right)$
Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule ln(y)=x-6. Derive both sides of the equality with respect to x. The derivative of the natural logarithm of a function is equal to the derivative of the function divided by that function. If f(x)=ln\:a (where a is a function of x), then \displaystyle f'(x)=\frac{a'}{a}. The derivative of the linear function is equal to 1. Any expression multiplied by 1 is equal to itself.