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Find the derivative of $-3x+3$ 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 $-3x+3$. Substituting $f(x+h)$ and $f(x)$ on the limit, we get
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$\lim_{h\to0}\left(\frac{-3\left(x+h\right)+3-\left(-3x+3\right)}{h}\right)$
Learn how to solve problems step by step online. Find the derivative of -3x+3 using the definition. Find the derivative of -3x+3 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 -3x+3. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term -3 by each term of the polynomial \left(x+h\right). Multiply the single term -1 by each term of the polynomial \left(-3x+3\right). Add the values 3 and -3.