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Multiply the single term $x$ by each term of the polynomial $\left(3x-8\right)$
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$derivdef\left(3x\cdot x-8x\right)$
Learn how to solve integral calculus problems step by step online. Find the derivative of 2x(x-4)-(x-7)(x-6)=x(3x-8) using the definition. Multiply the single term x by each term of the polynomial \left(3x-8\right). When multiplying two powers that have the same base (x), you can add the exponents. Find the derivative of 3x^2-8x 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 3x^2-8x. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term -8 by each term of the polynomial \left(x+h\right).