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Multiply the single term $2$ by each term of the polynomial $\left(x+3\right)$
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$derivdef\left(2x+6+1\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 8x-(3x-7)=2(x+3)+1 using the definition. Multiply the single term 2 by each term of the polynomial \left(x+3\right). Add the values 6 and 1. Find the derivative of 2x+7 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 2x+7. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term 2 by each term of the polynomial \left(x+h\right).