Question

Find where increasing/decreasing using derivatives f(x) = x⁴ - 12x² + 36.​

Answer 1

Answer:

Use the critical points to set up intervals. Substitute a value into each interval to find where the function is increasing or decreasing.

Increasing on:

Increasing on: (−√6,0), (√6,∞)

Increasing on: (−√6,0), (√6,∞)Decreasing on:

Increasing on: (−√6,0), (√6,∞)Decreasing on: (−∞,−√6), (0,√6)

Answer 2

Answer:

d/dx(x⁴)-d/dx(12x²)+d/dx(36)

=4x³-24x+0

=4x³-24x