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