Final answer to the problem
Step-by-step Solution
Specify the solving method
Divide $-2$ by $3$
Learn how to solve definition of derivative problems step by step online.
$derivdef\left({\left(-\frac{2}{3}\right)}^3\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of (-2/3)^3 using the definition. Divide -2 by 3. Calculate the power {\left(-\frac{2}{3}\right)}^3. Find the derivative of -\frac{8}{27} 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 -\frac{8}{27}. Substituting f(x+h) and f(x) on the limit, we get. Subtract the values \frac{8}{27} and -\frac{8}{27}.