Find the third derivative of f at x = 0 if the Maclaurin series for f(x) = 1 - 9x + 16x2 - 25x3 + … Type the answer as an integer using a hyphen, -, for negative values.

Question

Find the third derivative of f at x = 0 if the Maclaurin series for f(x) = 1 - 9x + 16x2 - 25x3 + …

Type the answer as an integer using a hyphen, -, for negative values.

Answer 1

The term with the x³ in the Maclaurin series is f'"(0)x³ / 3!

Therefore, -25x³ = f'"(0)x³ / 3!

Solve for f'"(0)