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Combining like terms $x^2$ and $-2x^2$
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$derivdef\left(-x^2-x-6x+9\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of x^2-x-2x^2-6x+9 using the definition. Combining like terms x^2 and -2x^2. Combining like terms -x and -6x. Find the derivative of -x^2-7x+9 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 -x^2-7x+9. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term -7 by each term of the polynomial \left(x+h\right).