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Combining like terms $-5x$ and $4x$
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$derivdef\left(x^2-x+1\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of x^2-5x4x+1 using the definition. Combining like terms -5x and 4x. Find the derivative of x^2-x+1 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 x^2-x+1. Substituting f(x+h) and f(x) on the limit, we get. Expand \left(x+h\right)^2. Multiply the single term -1 by each term of the polynomial \left(x+h\right).