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Question

Assertion (A): The nth derivative of log(3x+4) is 3n(1)n1(n1)!(3x+4)n
Reason (R): lf y=log|ax+b| then yn=(1)n1(n1)!an(ax+b)n

A
Both A and R are true and R is the correct explanation of A
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B
Both A and R are true but R is not correct explanation of A
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C
A is true but R is false
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D
A is false but R is true
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Solution

The correct option is B Both A and R are true and R is the correct explanation of A
y=log|ax+b| y=aax+b

y′′=a2(ax+b)2 , y′′′=2a3(ax+b)3

y4=3!a4(ax+b)4 , y5=4!a5(ax+b)5

So yn=(1)n1an(n1)!(ax+b)n

So through this our assertion is also correct.

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