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Combining like terms $8x$ and $-6x$
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$derivdef\left(2x+3x-5x+4-x\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the derivative of 8x-6x3x-5x+4-x using the definition. Combining like terms 8x and -6x. Combining like terms 2x and 3x. Cancel like terms 5x and -5x. Find the derivative of 4-x 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 4-x. Substituting f(x+h) and f(x) on the limit, we get.