Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Please verify your account before proceeding.

In this lesson, we will learn how to determine increasing and decreasing functions using the first derivative of a function.

Q1:

Find all possible intervals on which the function is increasing and decreasing.

Q2:

Given that π ( π₯ ) = 2 π₯ + 2 π₯ s i n c o s , 0 β€ π₯ β€ π , determine the intervals on which π is increasing or decreasing.

Q3:

Determine the intervals on which the function π ( π₯ ) = ( β 3 π₯ β 1 2 ) 2 is increasing and on which it is decreasing.

Q4:

The concentration πΆ of a drug in a patientβs bloodstream π‘ hours after injection is given by πΆ ( π‘ ) = 2 π‘ 3 + π‘ 2 . How does the concentration πΆ change as π‘ increases?

Q5:

Determine the intervals on which is increasing or decreasing.

Q6:

Let π ( π₯ ) = 3 π₯ π 4 β 4 π₯ . Determine the intervals where this function is increasing and where it is decreasing.

Q7:

Given that , find the intervals on which is increasing or decreasing.

Q8:

Find the intervals on which the function is increasing and decreasing.

Q9:

Q10:

Q11:

Determine the intervals on which the function is increasing and decreasing.

Q12:

Find the intervals on which the function π ( π₯ ) = 2 π β 3 π + 4 π₯ π₯ is either increasing or decreasing.

Q13:

Determine the intervals on which the function π ( π₯ ) = ( π₯ + 3 ) | π₯ + 3 | is increasing and decreasing.

Q14:

Determine the intervals over which the function π ( π₯ ) = β | 2 π₯ | + 2 8 is increasing and over which it is decreasing.

Q15:

Let Find the intervals on which π is increasing and where it is decreasing.

Q16:

Determine the intervals on which the function π¦ = 3 π₯ ( 9 π₯ + 5 ) 2 is increasing and where it is decreasing.

Q17:

Determine the intervals over which the function π ( π₯ ) = 1 1 π₯ β 8 π₯ 3 2 is increasing and over which it is decreasing.

Q18:

Given that π ( π₯ ) = 8 π₯ β 1 6 π₯ + 5 4 2 , determine the intervals on which π is increasing or decreasing.

Q19:

Determine the intervals on which the function is increasing or decreasing.

Q20:

Determine the intervals on which the function π ( π₯ ) = 3 π₯ β 9 π₯ β 4 3 2 is increasing and on which it is decreasing.

Q21:

Determine the intervals on which the function , where , is increasing and where it is decreasing.

Q22:

For , find the intervals on which is increasing or decreasing.

Q23:

Determine the intervals on which the function π ( π₯ ) = 7 π₯ π₯ + 9 2 is increasing and where it is decreasing.

Q24:

Determine the intervals on which the function π ( π₯ ) = 8 π₯ β 7 7 π₯ β 5 is increasing and where it is decreasing.

Q25:

Determine the intervals on which the function π¦ = 7 π₯ π₯ β 8 is increasing and on which it is decreasing.

Donβt have an account? Sign Up