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)) .
7, 8, 9, 10, or 11 are all natural numbers between 6-12.
Answer:
10 years ago
Step-by-step explanation:
Let x be the number of years ago
x years ago,
Sonu's grandmother was 80 - x
Sonu was 20 - x
x years ago,
the grandmother was 7 times as old as Sonu
80 - x = 7(20 - x)
80 - x = 140 - 7x
6x = 60
x = 10
Answer:
Option A
Step-by-step explanation:
A hunter travels to his cabinet located at 2 Miles North and 8 Miles West.
Let "d" be the distance traveled before reaching the rocky ground at point say "P". Let the cabin be at "C"
The distance between C and P is given by

Let "t" be the time taken to travel distance CP.

Minimum time will be when "t" is equal to zero
Differentiating the above equation wrt "d", we get -

On squaring both the sides , we get -

"d" cannot be greater than 8 miles.
Hence, the value of "d" is equal to 
Option A