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In this lesson, we will learn how to use chain rule of derivatives of single-variable functions.
Q1:
Find the first derivative of the function π¦ = οΉ 5 π₯ β 6 ο 2 6 .
Q2:
Find the first derivative of the function π¦ = 1 4 π 1 β 3 π₯ 4 .
Q3:
If π¦ = οΌ 8 π₯ ο c o s 5 , find d d π¦ π₯ .
Q4:
Determine the derivative of π¦ = οΉ β 2 π₯ β 3 π₯ + 4 ο 2 5 5 .
Q5:
Find d d π¦ π₯ if π¦ = ( 5 π₯ ) t a n c o t .
Q6:
Find the first derivative of the function π¦ = π 7 π₯ π₯ s i n .
Q7:
Determine the derivative of the function π ( π‘ ) = 4 π 5 π‘ π‘ s i n .
Q8:
Find the first derivative of .
Q9:
Find the first derivative of the function π¦ = β 8 π₯ β 9 π₯ s i n 8 .
Q10:
If π¦ = β 8 π₯ β 5 π₯ s i n 4 , find d d π¦ π₯ .
Q11:
Find the first derivative of the function π¦ = 6 3 π s e c 5 π₯ .
Q12:
If π¦ = οΌ π₯ 9 π₯ + 5 ο c o s 7 , find d d π¦ π₯ .
Q13:
Find the first derivative of π¦ = ο 9 π₯ β 4 9 π₯ + 4 s e c s e c .
Q14:
Find d d π¦ π₯ if π¦ = π Γ 8 c o s π₯ 5 π₯ .
Q15:
Find the first derivative of the function π¦ = οΉ 4 4 π₯ ο s i n c s c 2 .
Q16:
If π¦ = β 8 ( 6 π₯ ) β ( 6 π₯ ) s i n s i n c o s s i n , find d d π¦ π₯ .
Q17:
Determine the derivative of the function π ( π‘ ) = ο β π‘ + 7 β π‘ + 7 s i n c o s .
Q18:
Find the derivative of the function π¦ = β ( π π₯ ) c o s s i n t a n .
Q19:
Differentiate π ( π₯ ) = π π₯ π₯ c s c .
Q20:
Find the derivative of the function π§ = 5 ( ( 9 π₯ + 6 ) ) l n c o t .
Q21:
Find the first derivative of the function π¦ = β 2 ( 4 π₯ ) c o t c o s .
Q22:
If π¦ = οΉ π₯ ο s i n c o s 3 , find d d π¦ π₯ .
Q23:
Find the derivative of π π₯ π₯ s i n using the product rule.
Q24:
Differentiate π ( π₯ ) = π π₯ π₯ t a n .
Q25:
Given that π¦ = β 5 οΉ οΉ 2 π + π₯ + 4 ο ο l n s i n 8 π₯ , find d d π¦ π₯ .
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