1. y = sin? (In x). Find dy

Mathematics

1 answer:

galina1969 [7]3 years ago

8 0

Answer:

dy/dx= cos(ln(x))/x

Step-by-step explanation:

y=sin(ln(x)) given

We have to use chain rule to differentiate!

Let u=ln(x) then du/dx=1/x

So we have

if y=sin(ln(x)) then y=sin(u) and dy/dx=dy/du * du/dx=cos(u) *1/x

where again u=ln(x) so

dy/dx=cos(ln(x)) *1/x

dy/dx=cos(ln(x))/x

I hope I have the right intepretation because I do see a ? in between sin and (ln(x)) .

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