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When multiplying two powers that have the same base ($y$), you can add the exponents
Learn how to solve definition of derivative problems step by step online.
$derivdef\left(y^2y\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of yyy using the definition. When multiplying two powers that have the same base (y), you can add the exponents. When multiplying exponents with same base you can add the exponents: y^2y. Find the derivative of y^{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 y^{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).