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Combining like terms $x$ and $4x$
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$derivdef\left(5x-5\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of 5x=x+4x+-5 using the definition. Combining like terms x and 4x. Find the derivative of 5x-5 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 5x-5. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term 5 by each term of the polynomial \left(x+h\right). Multiply the single term -1 by each term of the polynomial \left(5x-5\right).