In this lesson, we will learn how to find the derivative of quotient functions using the quotient rule of differentiation.

Q1:

Find d d π¦ π₯ if π¦ = π₯ + 3 π₯ + 3 2 3 .

Q2:

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

Q3:

Find the first derivative of function π¦ = π₯ 7 π₯ β 2 2 .

Q4:

Find the first derivative of function π¦ = 4 π₯ 9 π₯ β 7 2 .

Q5:

Find the first derivative of π¦ = 8 π₯ + 5 3 π₯ + 2 2 .

Q6:

Find the first derivative of π¦ = π₯ β 9 3 π₯ + 1 3 .

Q7:

Differentiate π ( π₯ ) = 4 π₯ β 5 π₯ + 8 3 π₯ β 4 2 .

Q8:

Differentiate π ( π₯ ) = 5 π₯ β 1 7 π₯ + 6 2 .

Q9:

Differentiate π ( π₯ ) = 2 π₯ β 9 π₯ + 2 8 π₯ β 5 2 .

Q10:

Find the first derivative of the function π¦ = 4 π₯ + 5 π₯ + 5 4 π₯ β 2 π₯ + 3 2 2 .

Q11:

Given that π¦ = 3 β π₯ β 2 π₯ β π₯ , determine d d π¦ π₯ .

Q12:

Find the first derivative of π¦ = β 3 π₯ β 2 π₯ + 1 7 β π₯ 2 with respect to π₯ .

Q13:

If π¦ = 2 9 π₯ + 8 , find 1 π¦ ο½ π¦ π₯ ο 2 d d .

Q14:

If π¦ = π₯ + 5 π₯ β 5 β π₯ β 5 π₯ + 5 , find d d π¦ π₯ .

Q15:

Evaluate π β² ( 3 ) , where π ( π₯ ) = π₯ π₯ + 2 β π₯ β 3 π₯ β 2 .

Q16:

Evaluate π β² ( 2 ) , where π ( π₯ ) = π₯ π₯ + 4 β π₯ β 4 π₯ β 1 .

Q17:

Suppose π ( π₯ ) = π₯ + π π₯ β π and π β² ( 2 ) = β 2 . Determine π .

Q18:

Suppose π ( π₯ ) = π₯ + π π₯ β π and π β² ( β 6 ) = 2 . Determine π .

Q19:

Suppose that π ( π₯ ) = π₯ + π π₯ + π π₯ β 7 π₯ + 4 2 2 . Given that π ( 0 ) = 1 and π β² ( 0 ) = 4 , find π and π .

Q20:

Find π β² ( π₯ ) where π ( π₯ ) = π₯ π 2 π₯ .

Q21:

Given that π¦ = 6 6 β 3 3 π₯ 3 π₯ , find d d π¦ π₯ .

Q22:

Find d d π¦ π₯ , given that π¦ = 3 π 4 + 3 π β 4 π₯ β 4 π₯ .

Q23:

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

Q24:

Find d d π¦ π₯ if π¦ = ο 5 + π 5 β π 3 π₯ 3 π₯ .

Q25:

If π¦ = ο 2 π₯ + 1 2 π₯ β 1 3 3 , determine d d π¦ π₯ .

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