Use logarithmic differentiation to find the derivative with respect to x of the function y= (sin x)^lnx
1 answer:
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
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Answer:
The monthly payment is $35.10.
Step-by-step explanation:
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2.)8x+1-x^2
3.)-x^2-x+8
4.)-2y+10-x^2
Answer:
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Step-by-step explanation:
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The second one is the only equivalent equation. Simply plug in each variable in each equation. And compare!
