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The derivative of a sum of two or more functions is the sum of the derivatives of each function
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$\frac{d}{dx}\left(\frac{3}{x^6}\right)+\frac{d}{dx}\left(\frac{-1}{x^4}\right)$
Learn how to solve problems step by step online. d/dx(3/(x^6)+-1/(x^4)+5). The derivative of a sum of two or more functions is the sum of the derivatives of each function. Apply the formula: \frac{d}{dx}\left(\frac{a}{b}\right)=\frac{\frac{d}{dx}\left(a\right)b-a\frac{d}{dx}\left(b\right)}{b^2}, where a=3 and b=x^6. Apply the formula: \frac{d}{dx}\left(\frac{a}{b}\right)=\frac{\frac{d}{dx}\left(a\right)b-a\frac{d}{dx}\left(b\right)}{b^2}, where a=-1 and b=x^4. Apply the formula: ab=ab, where ab=- -\frac{d}{dx}\left(x^4\right), a=-1 and b=-1.