(c) Determine where the function is increasing and where it is decreasing. The function is increasing on the interval (Type your answer in interval notation.)

Question

UpStudy AI · Accepted Answer

To find where a function is increasing or decreasing, find its first derivative, set it to zero to find critical points, and then test points in intervals to see if the derivative is positive (increasing) or negative (decreasing). To determine where a function is increasing or decreasing, you typically need to analyze its first derivative. Here’s a general approach to find the intervals of increase and decrease: 1. **Find the first derivative** of the function, $$ f'(x) $$. 2. **Set the first derivative equal to zero** to find critical points: $$ f'(x) = 0 $$. 3. **Determine the sign of the first derivative** in the intervals defined by the critical points. You can do this by testing points in each interval. 4. **Identify the intervals** where $$ f'(x) > 0 $$ (increasing) and where $$ f'(x) < 0 $$ (decreasing). If you provide the specific function, I can help you find the intervals where it is increasing and decreasing.

(c) Determine where the function is increasing and where it is decreasing. The function is increasing on the interval (Type your answer in interval notation.)

UpStudy ThothAI Solution

Step-by-step Solution

Quick Answer

(c) Determine where the function is increasing and where it is decreasing. The function is increasing on the interval (Type your answer in interval notation.)

UpStudy ThothAI Solution

Step-by-step Solution

Quick Answer

Related Questions