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In this lesson, we will learn how to differentiate general logarithmic functions without taking limits of the function.

Q1:

Find the first derivative of the function π¦ = β 8 π + 2 οΌ 7 π₯ 2 ο 7 π₯ 5 l o g .

Q2:

Determine d d π¦ π₯ , given that π¦ = 7 ( 7 π₯ + 3 ) l o g 4 .

Q3:

Find the first derivative of π¦ = ( 4 π₯ ) + β 3 π₯ π₯ l o g l o g 9 9 .

Q4:

Find the first derivative of π¦ = ( 5 π₯ ) + β 2 π₯ 9 π₯ l o g l o g 3 4 .

Q5:

Given π¦ = ο β 7 π₯ + 5 8 π₯ β 9 l o g , find d d π¦ π₯ .

Q6:

Given π¦ = ο β π₯ + 9 5 π₯ β 3 l o g , find d d π¦ π₯ .

Q7:

Given π¦ = 5 3 π₯ 5 3 π₯ β 6 l o g l o g , find d d π¦ π₯ .

Q8:

Find d d π¦ π₯ , given that π¦ = ( 7 π₯ β 1 ) l o g 9 .

Q9:

Find d d π¦ π₯ , given that π¦ = β 7 ( 5 π₯ + 3 ) l o g 6 .

Q10:

Find d d π¦ π₯ , given that π¦ = 3 ( 4 π₯ β 7 ) l o g 4 .

Q11:

Find d d π¦ π₯ if π¦ = οΉ 2 5 π₯ ο l o g c o s 7 .

Q12:

Find d d π¦ π₯ if π¦ = οΉ 6 5 π₯ ο l o g s i n 4 .

Q13:

Differentiate π ( π₯ ) = ( 4 3 π₯ + 3 ) l o g c o s 1 0 .

Q14:

Differentiate π ( π₯ ) = ( β 4 π₯ + 3 ) l o g c o s 1 0 .

Q15:

Given that π¦ = β 2 ( 9 π₯ ) c o s l o g 2 , find d d π¦ π₯ .

Q16:

Find d d π¦ π₯ if π¦ = β 6 π₯ l o g 3 4 .

Q17:

Find d d π¦ π₯ if π¦ = β 3 π₯ l o g 5 7 .

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