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:
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Answer:
4x - 3y = 36
Step-by-step explanation:
2/3x - 1/2y = 6
Multiply each side by 6 to get rid of the fractions
6* (2/3x - 1/2y) = 6*6
Distribute the 6
12/3 x - 6/2y = 36
4x -3y = 36
Step-by-step explanation:
z= 21/12
divide bothside by 12
shekinan
Answer:
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Step-by-step explanation:
