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The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function
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$7\frac{d}{dx}\left(\log_{2}\left(x^3-1\right)\right)$
Learn how to solve problems step by step online. Find the derivative of y=7log2(x^3+-1). The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. We can find the derivative of a logarithm of any base using the change of base formula. Before deriving, we must pass the logarithm to base e: \log_b(a)=\frac{\log_x(a)}{\log_x(b)}. The derivative of a function multiplied by a constant (\frac{1}{\ln\left(2\right)}) is equal to the constant times the derivative of the function. 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}.