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