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$derivdef\left(\frac{1}{2}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of (m^4)/(2m^4) using the definition. Simplify the fraction . Divide 1 by 2. Find the derivative of \frac{1}{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 \frac{1}{2}. Substituting f(x+h) and f(x) on the limit, we get. Subtract the values \frac{1}{2} and -\frac{1}{2}.