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 find the first derivative of functions using various methods.

Q1:

Find , given that .

Q2:

Find d d π¦ π₯ , given that π¦ = 3 π₯ + 4 π₯ + 6 β 7 π₯ β 8 π₯ 4 2 7 8 .

Q3:

Differentiate π ( π₯ ) = β 5 π π₯ β 9 π 2 , where π and π are two constants.

Q4:

Differentiate π ( π₯ ) = 2 π π₯ + π 2 , where π and π are two constants.

Q5:

If π¦ = π₯ β 7 β π₯ οͺ ο , find d d π¦ π₯ .

Q6:

Find the first derivative of the function π¦ = β π₯ + 7 β π₯ 5 5 .

Q7:

Find the first derivative of the function π¦ = οΉ 3 π₯ + 7 ο οΉ 7 β 3 π₯ ο 5 5 .

Q8:

Find the first derivative of the function π¦ = ( 5 π₯ + 2 ) ( 9 π₯ + 6 π₯ + 4 ) 2 3 .

Q9:

Find the first derivative of the function π¦ = 9 π₯ + 5 π₯ οΌ 4 π₯ + 5 π₯ ο 2 2 .

Q10:

Evaluate d d π₯ οΏ β 5 β π₯ ο 3 .

Q11:

Differentiate π ( π₯ ) = 4 β π₯ + 8 , and identify the value of π₯ at which the function is NOT differentiable.

Q12:

Q13:

Find the first derivative of π¦ = 9 π₯ β 7 β π₯ 6 with respect to π₯ .

Q14:

Evaluate d d π₯ ο β 5 π₯ ο 1 9 .

Q15:

Differentiate π ( π₯ ) = 9 π₯ + 3 β π₯ β 5 π₯ β 6 4 9 2 .

Q16:

If π¦ = β 2 β 3 π₯ , which of the following is the same as d d π¦ π₯ ?

Q17:

Find d d π₯ οΊ β 2 β π₯ β 7 π₯ ο .

Q18:

Find the first derivative of the function π¦ = 9 π₯ + 2 π₯ + 4 β π₯ π₯ 2 .

Q19:

Find d d π¦ π₯ , given that π¦ = β π₯ 4 β 5 + 5 π₯ 5 2 .

Q20:

Differentiate π¦ = β π₯ οΏ 5 π₯ β π₯ β 4 π₯ β π₯ β 1 ο .

Q21:

Find d d π¦ π₯ , given that π¦ = 5 π₯ + 3 π₯ β π₯ + β 2 1 π₯ + 1 7 .

Q22:

Differentiate πΊ ( π‘ ) = β 5 π‘ + β 2 2 π‘ .

Q23:

Find the first derivative of the function π¦ = 1 2 π₯ + 1 .

Q24:

Let π ( π₯ ) = β 2 π ( π₯ ) + 5 β ( π₯ ) . If π β² ( β 8 ) = 9 and β β² ( β 8 ) = β 1 , find π β² ( β 8 ) .

Q25:

Differentiate π¦ = β π₯ ( β 2 π₯ + 1 ) 3 .

Donβt have an account? Sign Up