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Multiply the single term $m$ by each term of the polynomial $\left(2x^2+2x-1\right)$
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$derivdef\left(2x^2m+2xm-m\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of m(2x^2+2x+-1) using the definition. Multiply the single term m by each term of the polynomial \left(2x^2+2x-1\right). Find the derivative of 2x^2m+2xm-m 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^2m+2xm-m. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term -1 by each term of the polynomial \left(m+h\right). Multiply the single term -1 by each term of the polynomial \left(2x^2m+2xm-m\right).