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When multiplying two powers that have the same base ($x$), you can add the exponents
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$derivdef\left(2x^2\right)$
Learn how to solve power of a product problems step by step online. Find the derivative of x2x using the definition. When multiplying two powers that have the same base (x), you can add the exponents. Find the derivative of 2x^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 2x^2. Substituting f(x+h) and f(x) on the limit, we get. Expand \left(x+h\right)^2. Multiply the single term 2 by each term of the polynomial \left(x^2+2xh+h^2\right).