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Combining like terms $53x$ and $31x$
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$derivdef\left(84x-172\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 8x-15x-30x-51x=53x+31x+-172 using the definition. Combining like terms 53x and 31x. Find the derivative of 84x-172 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 84x-172. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term 84 by each term of the polynomial \left(x+h\right). Multiply the single term -1 by each term of the polynomial \left(84x-172\right).