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Rufina [12.5K]
3 years ago
5

PLEASE HELP!

Mathematics
2 answers:
crimeas [40]3 years ago
8 0
I think its the first one
NikAS [45]3 years ago
3 0

Answer: The answer would be 665/3,600



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Possible rational roots of 4x^2+15x-54=0
avanturin [10]

Answer:

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4 years ago
Differentiate x^2 e^x logx
zimovet [89]

Product rule:

\dfrac{\mathrm d}{\mathrm dx}(x^2e^x\log x)

=\dfrac{\mathrm d(x^2)}{\mathrm dx}e^x\log x+x^2\dfrac{\mathrm d(e^x)}{\mathrm dx}\log x+x^2e^x\dfrac{\mathrm d(\log x)}{\mathrm dx}

Power rule:

\dfrac{\mathrm d(x^2)}{\mathrm dx}=2x

The exponential function is its own derivative:

\dfrac{\mathrm d(e^x)}{\mathrm dx}=e^x

Assuming the base of \log x is e, its derivative is

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But if you mean a logarithm of arbitrary base b, we have

y=\log_bx\implies x=b^y=e^{y\ln b}\implies1=e^{y\ln b}\ln b\dfrac{\mathrm dy}{\mathrm dx}

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\implies\dfrac{\mathrm d(\log_bx)}{\mathrm dx}=\dfrac1{x\ln b}

So we end up with

2xe^x\log x+x^2e^x\log x+\dfrac{x^2e^x}x

=xe^x(2\log x+x\log x+1)

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,

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,...

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3 years ago
PLZ HELP ME ITS 30 POINTS PLZ HELP ME ITS 30 POINTS
pentagon [3]

I cant really see that- could you tell me what that is?

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Read 2 more answers
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