Final Answer
Step-by-step Solution
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Multiply the single term $x^2$ by each term of the polynomial $\left(x-2\right)$
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$derivdef\left(x\cdot x^2-2x^2\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of (x-2)x^2 using the definition. Multiply the single term x^2 by each term of the polynomial \left(x-2\right). When multiplying exponents with same base you can add the exponents: x\cdot x^2. Find the derivative of x^{3}-2x^2 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^{3}-2x^2. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term -1 by each term of the polynomial \left(x^{3}-2x^2\right).