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When multiplying two powers that have the same base ($x$), you can add the exponents
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$derivdef\left(33x^2\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 33xx using the definition. When multiplying two powers that have the same base (x), you can add the exponents. Find the derivative of 33x^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 33x^2. Substituting f(x+h) and f(x) on the limit, we get. Expand the expression \left(x+h\right)^2 using the square of a binomial: (a+b)^2=a^2+2ab+b^2. Multiply the single term 33 by each term of the polynomial \left(x^{2}+2xh+h^{2}\right).