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
The function f(x) is a function of the variable x.
To solve the function for x = 30, just plug in 30 for x.
14 - 0.5(30) = -1
f(30) = -1
Unless unusually unusual unification under
Perimeter is 42
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Answer:
Use a graphing calc or desmos to help guide you.
Step-by-step explanation: