Step 1: Start with the function f(x) = x^3 - 4x + 1.
Step 2: Find the first derivative f'(x) by using the power rule. The derivative of x^3 is 3x^2, and the derivative of -4x is -4. So, f'(x) = 3x^2 - 4.
Step 3: Now, find the second derivative f''(x) by taking the derivative of f'(x). The derivative of 3x^2 is 6x, and the derivative of -4 is 0. So, f''(x) = 6x.
Differentiation – The process of finding the derivative of a function, which measures how the function changes as its input changes.
Second Derivative – The derivative of the first derivative, which provides information about the concavity of the function.
