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Combining like terms $3a^2$ and $-a^2$
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$derivdef\left(2a^2\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 3a^2-a^2 using the definition. Combining like terms 3a^2 and -a^2. Find the derivative of 2a^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 2a^2. Substituting f(x+h) and f(x) on the limit, we get. Expand the expression \left(a+h\right)^2 using the square of a binomial: (a+b)^2=a^2+2ab+b^2. Multiply the single term 2 by each term of the polynomial \left(a^{2}+2ah+h^{2}\right).