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$x+0=x$, where $x$ is any expression
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$derivdef\left(\left(m+n\right)\cdot \left(m+n\right)\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of (m+n+0)(m+n+0) using the definition. x+0=x, where x is any expression. When multiplying two powers that have the same base (m+n), you can add the exponents. Find the derivative of \left(m+n\right)^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 \left(m+n\right)^2. Substituting f(x+h) and f(x) on the limit, we get. Expand the expression \left(m+n+h\right)^2 using the square of a binomial: (a+b)^2=a^2+2ab+b^2.