Final answer to the problem
Step-by-step Solution
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Divide $1$ by $3$
Learn how to solve definition of derivative problems step by step online.
$derivdef\left(5\sqrt[3]{5^{21}}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 55^21^(1/3) using the definition. Divide 1 by 3. Simplify \sqrt[3]{5^{21}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 21 and n equals \frac{1}{3}. Find the derivative of 390625 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 390625. Substituting f(x+h) and f(x) on the limit, we get. Subtract the values 390625 and -390625.