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When multiplying two powers that have the same base ($x$), you can add the exponents
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$derivdef\left(x^2\right)$
Learn how to solve problems step by step online. Find the derivative of xx using the definition. When multiplying two powers that have the same base (x), you can add the exponents. Find the derivative of x^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 x^2. Substituting f(x+h) and f(x) on the limit, we get. Expand \left(x+h\right)^2. Cancel like terms x^2 and -x^2.