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Calculate the square root of $2$
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$derivdef\left(8\sqrt{2}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 2^1/2(x-3)+32^1/2(x+1)=82^1/2 using the definition. Calculate the square root of 2. Multiply 8 times \sqrt{2}. Find the derivative of 8\sqrt{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 8\sqrt{2}. Substituting f(x+h) and f(x) on the limit, we get. Subtract the values 8\sqrt{2} and -8\sqrt{2}.