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find f'(x) for f(x) = ln(x^4 + e^2x)

User Brakertech
by
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1 Answer

3 votes

Answer:

We can do this with u substitution


f(x) = ln(x^4+e^2^x)\\u = x^4+e^2^x\\f(x) = ln(u)\\f'(x) = (u')/(u) \\u' = 4x^3 + 2e^2^x \\f'(x) = (4x^3 + 2e^2^x)/(x^4+e^2^x)

we can't simplify further

User Dylan Bijnagte
by
7.0k points
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