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Simplify the fraction $\frac{-2x}{x}$ by $x$
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$derivdef\left(8x^2-2\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 8x^2+(-2x)/x using the definition. Simplify the fraction \frac{-2x}{x} by x. Find the derivative of 8x^2-2 using the definition. Apply the definition of the derivative: \displaystyle f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}. The function f(x) is the function we want to differentiate, which is 8x^2-2. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term -1 by each term of the polynomial \left(8x^2-2\right). Add the values -2 and 2.