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Cancel exponents $2$ and $\frac{1}{2}$
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$derivdef\left(u-u^2\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of y=u^2^1/2-u^2 using the definition. Cancel exponents 2 and \frac{1}{2}. Find the derivative of u-u^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 u-u^2. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term -1 by each term of the polynomial \left(u-u^2\right). Simplifying.