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Multiply the single term $3$ by each term of the polynomial $\left(r+5\right)$
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$derivdef\left(3r+15-6\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 5r-13-6r=3(r+5)-6 using the definition. Multiply the single term 3 by each term of the polynomial \left(r+5\right). Add the values 15 and -6. Find the derivative of 9+3r 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 9+3r. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term 3 by each term of the polynomial \left(r+h\right).