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