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 answer is 75 because if u multiply 75 by 1/3 you get 25 then 25 times 2/5 u get 10 75 is your answer
Could you type the answer into this answers comments? because I think I see 8452 + something but i cant see what that is
Answer:
<h3>x^2+3x-12/(x+3)(x-5)(x+7)
</h3>
Step-by-step explanation:
<h3>D</h3>
