f(x) = x2 − 2x + 3 Find the second derivative

Question

f(x) = x² − 2x + 3

Find the second derivative.

Answer 1

Use the power rule to get the first derivative. For this polynomial, just break it up into 3 parts (one for each term) and apply the power rule to each term.

Then, when you get that result, use the power rule again on the result you got to get the second derivative.

Reminder: The power rule can by defined as follows:

For f(x) = xⁿ, f '(x) = nx^n-1