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
We use the formula:
Total = Principal * e ^ (rate * years)
Total = 1,500 * e ^ (.03 * 15)
Total = 1,500 * e ^ .45
Total = 1,500 *
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1.5683121854
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Total =
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2,352.47
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Answer:
x=99792212
Step-by-step explanation:
get the x alone by subtracting 6787 from both sides
6787-6787+x=99798999-6787
x=99792212
Hope this helps!
(13/20)=(x/152)
1976=20x
x=98.8
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