derivative question (1 Viewer)

1zephyr · Oct 8, 2015

Find the 50th derivative of f(x)=37^42+log(x)
how do you do et
thanks

Flop21 · Oct 8, 2015

What's the answer? log(x) ?

1zephyr · Oct 8, 2015

Flop21 said:
What's the answer? log(x) ?

Im not sure but it says that 5! is a more convenient way to write it??

kawaiipotato · Oct 8, 2015

It might be easier if you note that
$y = 37^{42 + \ln x}$
$y = 37^{42} * 37^{\ln x}$
$y = 37^{42} * e^{\ln (37^{\ln x})}$
$y = 37^{42} * e^{\ln x * ln37}$
$y = 37^{42} * \left (e^{\ln x} \right )^{\ln37}$
$y = 37^{42} * (x)^{\ln 37}$

calamebe · Oct 8, 2015

kawaiipotato said:
It might be easier if you note that
$y = 37^{42 + \ln x}$
$y = 37^{42} * 37^{\ln x}$
$y = 37^{42} * e^{\ln (37^{\ln x})}$
$y = 37^{42} * e^{\ln x * ln37}$
$y = 37^{42} * \left (e^{\ln x} \right )^{\ln37}$
$y = 37^{42} * (x)^{\ln 37}$

Oh, I was getting the impression that it was (37^42)+ln(x), not 37^(42+ln(x))

InteGrand · Oct 8, 2015

This is why brackets should be used if LaTeX isn't being used to type it.

1zephyr · Oct 8, 2015

calamebe said:
Oh, I was getting the impression that it was (37^42)+ln(x), not 37^(42+ln(x))

sorry, this is what i meant
(37x^42)+log(x)

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derivative question (1 Viewer)

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