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3 years ago

Please help me asap!!

Mathematics

1 answer:

luda_lava [24]3 years ago

4 0

Answer:

1 square unit

Step-by-step explanation:

its easy

1 * 1 = 1

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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

$\dfrac{\mathrm d(\log x)}{\mathrm dx}=\dfrac1x$

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

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

$\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{e^{-y\ln b}}{\ln b}=\dfrac1{b^y\ln b}$

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

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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3 years ago

Which set of side lengths forms a right triangle?

Valentin [98]

15, 36, and 39 ‎ ‎ ‎ ‎

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2 years ago

A mailbox that is 36 inches tall is beside a tree.The length of the mailboxes shadow is 28 inches.The length of the trees shadow

Eduardwww [97]

Answer:

The tree is 126 inches which is 10.5 feet.

Step-by-step explanation:

36x98= 3528

3528=28x

3528/28=126/12=10.5

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3 years ago

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Answer:

4,500,000 population in 1950

Step-by-step explanation:

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2 years ago

5d = 30 i cant find the answer

TEA [102]

Answer:

d=6

Step-by-step explanation:

divide 30 by 5 to get the value of d

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2 years ago

Read 2 more answers