Logarithmic differentiation means tAke logarithm of both sides to make the function easier to find the derivative.
y = (sinx)^lnx
ln(y) = ln((sinx)^lnx)
power rule logarithm
ln(y) = ln(x) ln(sinx)
Take derivative
y'/y = ln(sinx)(1/x) + ln(x) cosx/sinx
multiply both sides by y
y' = y( ln(sinx)/x + ln(x)cotx )
remember y = (sinx)^lnx
sub this in for y
y' = (ln(sinx)/x + ln(x)cotx)(sinx)^lnx
Answer:
The answer to this question is A
(5, 90)
You can solve both equations for y and then set equal to each other. Then use the quadratic equation to solve for x
Answer:
Its 7.333333333333333333 (3 forever)
First you isolate y onto one side of the equation
y/9= 44/54 --> y = 9 x 44/54
Multiply the right side of the equation
9 x 44/54 = 396/54
Now divide to get the whole answer
396/54 = 7.3333333333 (3 forever)
y = 7.333333
Answer:
hope it helps uh..........
