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Combining like terms $3x^2$ and $5x^2$
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$derivdef\left(8x^2+1\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 3x^2+5x^2+1 using the definition. Combining like terms 3x^2 and 5x^2. Find the derivative of 8x^2+1 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 8x^2+1. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term -1 by each term of the polynomial \left(8x^2+1\right). Add the values 1 and -1.