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Calculate the square root of $2$
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$derivdef\left(7\sqrt{2}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of -32^1/2+(3x)^1/2=72^1/2 using the definition. Calculate the square root of 2. Multiply 7 times \sqrt{2}. Find the derivative of 7\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 7\sqrt{2}. Substituting f(x+h) and f(x) on the limit, we get. Subtract the values 7\sqrt{2} and -7\sqrt{2}.