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Subtract the values $9$ and $-7$
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$derivdef\left(2+6x\right)$
Learn how to solve problems step by step online. Find the derivative of 5(3x+4)=9+6x+-7 using the definition. Subtract the values 9 and -7. Find the derivative of 2+6x 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 2+6x. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term 6 by each term of the polynomial \left(x+h\right). Multiply the single term -1 by each term of the polynomial \left(2+6x\right).