Question

derivative of lnsqrt(x+4)?

Answer 1

remember a rule... derivative of ln (hathi) is 1/hathi . d(hathi)
do that no n no. of terms

Answer 2

\[\frac{ 1 }{ 2\sqrt{x+4} }\]
Consider x+4 as a single term and differentiate...

Answer 3

@Salmon O.o can you explain that?

Answer 4

Been a few months since i've done any derivatives

Answer 5

Cosider x+4=a
so what is derivative of \[{\sqrt{a}}\] with respect to a?

Answer 6

1/2sqrt(x)

Answer 7

sorry a lol

Answer 8

not x

Answer 9

k.good...
Now what is the derivative of the term you considered as 'a' i.e x+4???

Answer 10

with respect to x itself...

Answer 11

1

Answer 12

since x^1-0=0, anything to the power of 0 = 1

Answer 13

Excellent, Now multiply both answer what will you get??

Answer 14

1/2sqrt(x)*1? same answer lol

Answer 15

Now try solving (7x+9)^2

Answer 16

49x^2+126x+81
98x+126

Answer 17

Good job dude..