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