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 use the chain rule two or more times to find a derivative.

Q1:

Suppose π¦ = π§ 8 and π§ = β π₯ β 1 . Find d d 2 2 π¦ π₯ .

Q2:

If π¦ = β 6 π§ t a n and π§ = β 2 π₯ β 3 , find d d 2 2 π¦ π₯ .

Q3:

If π¦ = 2 π§ β 1 3 π§ and π§ = 2 π₯ + 5 2 , determine d d 2 2 π¦ π₯ at π₯ = 0 .

Q4:

Given that π¦ = β β π§ β 8 and π§ = β 6 π₯ β 3 2 , find d d 2 2 π¦ π₯ at π₯ = β 1 .

Q5:

Given that π¦ = ( 3 π₯ + 2 ) 4 , determine π¦ β² β² β² .

Q6:

Determine d d s i n 3 3 2 π₯ οΊ 7 π₯ ο .

Q7:

Suppose π¦ = π§ 3 and π§ = β π₯ + 5 . Find d d 2 2 π¦ π₯ .

Q8:

Suppose π¦ = π§ 3 and π§ = β 5 π₯ β 8 . Find d d 2 2 π¦ π₯ .

Q9:

Suppose π¦ = π§ 7 and π§ = β π₯ + 4 . Find d d 2 2 π¦ π₯ .

Q10:

Suppose π¦ = π§ 6 and π§ = β π₯ β 6 . Find d d 2 2 π¦ π₯ .

Q11:

If π¦ = β 5 π§ t a n and π§ = β π₯ β 7 , find d d 2 2 π¦ π₯ .

Q12:

If π¦ = π§ β 1 π§ and π§ = 2 π₯ + 1 2 , determine d d 2 2 π¦ π₯ at π₯ = 0 .

Q13:

If π¦ = π§ β 2 2 π§ and π§ = 2 π₯ β 3 2 , determine d d 2 2 π¦ π₯ at π₯ = 0 .

Q14:

Given that π¦ = β 8 π§ + 9 and π§ = 6 π₯ β 6 2 , find d d 2 2 π¦ π₯ at π₯ = 1 .

Q15:

Given that π¦ = β 6 π§ + 1 and π§ = β 2 π₯ + 1 0 2 , find d d 2 2 π¦ π₯ at π₯ = β 1 .

Donβt have an account? Sign Up