The discussion centers on differentiating the function f(x) = ln(x^4 sin(x^2)). The correct approach involves applying the properties of logarithms to simplify the function to f(x) = 4 ln(x) + 2 ln(sin(x)). The derivative is confirmed as f'(x) = 4*(1/x) + 2*(cos(x)/sin(x)), which is accurate according to the rules of differentiation.
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I presume that the first thing you did was use the laws of logarithms to simplifyrcmango said:Homework Statement
need to differentiate:
f(x) = ln(x^4sinx^2)
Homework Equations
The Attempt at a Solution
just use ln 1/x and differentiate the sins and exponents to get what's below.
would this be the final form?
f'(x) = 4*(1/x) + 2*(cosx/(sinx)