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i need to find the derivative of
e^ktan(square-root of 3)

i got a long and complicated answer, which i thought was right due to using the chain rule for derivatives, but it was apparently wrong, could someone help me please? thanks

2007-10-10 15:24:20 · 3 answers · asked by fr3shfr0st 1 in Science & Mathematics Mathematics

3 answers

all constants are equal to 0 if there was an x in there equation youd have to solve it!

2007-10-10 15:32:01 · answer #1 · answered by Rock 2 · 0 0

D/dx e^u = (e^u)du
d/dk e^(ktan(3)^.5)=e^(ktan(3)^.5)(k)
repeat the function, then multiply by the derivative of the exponent. tan(3^.5) is just a constant, so the answer is actually pretty concise.

2007-10-10 22:34:25 · answer #2 · answered by Anonymous · 0 0

e is a constant, √3 is a constant and so is tan(√3).

If k is the variable, what you have is [e^tan(√3)]^k
a constant raised to a power.

If k is also a constant, then the whole thing is a constant; its derivative is 0.

2007-10-10 22:30:03 · answer #3 · answered by Raymond 7 · 0 0

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