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$\frac{3x-12}{2}=2x+3$
Learn how to solve definition of derivative problems step by step online. \frac{3x-12}{ 2 }=2x+3. Math interpretation of the question. Find the derivative of 2x+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 2x+3. 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). Multiply the single term -1 by each term of the polynomial \left(2x+3\right).