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Combining like terms $\frac{1}{3}x$ and $-x$
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$derivdef\left(-\frac{2}{3}x\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 1/3x-x using the definition. Combining like terms \frac{1}{3}x and -x. Find the derivative of -\frac{2}{3}x 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 -\frac{2}{3}x. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term -\frac{2}{3} by each term of the polynomial \left(x+h\right). Simplifying.