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Multiply the single term $5$ by each term of the polynomial $\left(x+4\right)$
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$derivdef\left(5x+20+5-3x\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 3(4+x)=5(x+4)+5-3x using the definition. Multiply the single term 5 by each term of the polynomial \left(x+4\right). Add the values 20 and 5. Combining like terms 5x and -3x. Find the derivative of 2x+25 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+25. Substituting f(x+h) and f(x) on the limit, we get.