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Combining like terms $x^2$ and $x^2$
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$derivdef\left(2x^2+8x+16\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of x^2+8x+16x^2 using the definition. Combining like terms x^2 and x^2. Find the derivative of 2x^2+8x+16 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^2+8x+16. 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). Multiply the single term -1 by each term of the polynomial \left(2x^2+8x+16\right).