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When multiplying exponents with same base we can add the exponents
Learn how to solve definition of derivative problems step by step online.
$derivdef\left(x^{3}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of x^4x^(-1) using the definition. When multiplying exponents with same base we can add the exponents. Find the derivative of x^{3} 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^{3}. Substituting f(x+h) and f(x) on the limit, we get. Factor the sum or difference of cubes using the formula: a^3\pm b^3 = (a\pm b)(a^2\mp ab+b^2). Cancel like terms x and -x.