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Simplify the fraction $\frac{3x^4}{x^2}$ by $x$
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$derivdef\left(3x^{2}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of (3x^4)/(x^2) using the definition. Simplify the fraction \frac{3x^4}{x^2} by x. Find the derivative of 3x^{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 3x^{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 3 by each term of the polynomial \left(x^{2}+2xh+h^{2}\right).