Final Answer
Step-by-step Solution
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Divide $-\sqrt{2}$ by $2$
Learn how to solve definition of derivative problems step by step online.
$derivdef\left(x^2-\frac{\sqrt{2}}{2}x\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of x^2-x(2^1/2)/2 using the definition. Divide -\sqrt{2} by 2. Find the derivative of x^2-\frac{\sqrt{2}}{2}x 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^2-\frac{\sqrt{2}}{2}x. Substituting f(x+h) and f(x) on the limit, we get. Expand \left(x+h\right)^2. Multiply the single term -\frac{\sqrt{2}}{2} by each term of the polynomial \left(x+h\right).