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2 years ago

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HELP PLEASE ASAP

1 answer:

Irina18 [472]2 years ago

5 0

D is your answer if you times 8 and 2 together to get your A& B

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Find the derivative of the following. please show the steps when you answer :1) f(x) = 8xe^x2) y= 5xe^x^43) f(x)= x^8+5/x4) f(t)

borishaifa [10]

Answer:

Since,

$\frac{d}{dx}x^n = nx^{n-1}$

$\frac{d}{dx}(f(x).g(x)) = f(x).\frac{d}{dx}(g(x)) + g(x).\frac{d}{dx}(f(x))$

$\frac{d}{dx}(\frac{f(x)}{g(x)})=\frac{g(x).f'(x) - f(x) g'(x)}{(g(x))^2}$

1) $y = 8x e^x$

Differentiating with respect to x,

$\frac{dy}{dx}=8( x \times e^x + e^x) = 8(xe^x + e^x) = 8e^x(x+1)$

2) $y = 5x e^{x^4}$

Differentiating w. r. t x,

$\frac{dy}{dx}=5(x\times 4x^3 e^{x^4}+e^{x^4})=5e^{x^4}(4x^4+1)$

3) $y = x^8 + \frac{5}{x^4}$

Differentiating w. r. t. x,

$\frac{dy}{dx}=8x^7 - \frac{5}{x^5}\times 4 = 8x^7 - \frac{20}{x^5}=\frac{8x^{12}-20}{x^5}$

4) $f(t) = te^{11}-6t^5$

Differentiating w. r. t. t,

$f'(t) = e^{11} - 30t^4$

5) $g(p) = p\ln(2p+3)$

Differentiating w. r. t. p,

$g'(p) = p\frac{1}{2p+3}(2) + \ln(2p+3) = \frac{2p}{2p+3}+\ln(2p+3)$

6) $z = (te^{6t}+e^{5t})^7$

Differentiating w. r. t. t,

$\frac{dz}{dt}=7(te^{6t}+e^{5t})^6 ( 6te^{6t}+e^{6t} + 5e^{5t})$

7) $w =\frac{2y + y^2}{7+y}$

Differentiating w. r. t. y,

$\frac{dw}{dy} = \frac{(7+y)(2+2y)-(2y+y^2)}{(7+y)^2} = \frac{14 + 2y + 14y +2y^2 - 2y - y^2}{(7+y)^2}=\frac{14+14y+y^2}{(7+y)^2}$

7 0

2 years ago

The amounts of 8 charitable contributions are $100, $80, $250, $100, $500, $1000, $100, and $150.

cluponka [151]

Due to the fact that mode means most present number your answer would be mode or 100 dollars

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2 years ago

Is 117.93 greater than or less than 117.859

siniylev [52]

It's greater than 117.859. Hope this helps

6 0

2 years ago

Read 2 more answers

A rectangular prism has a base of 18 cm by 15 cm and a diagonal of 25 cm. Identify its height. Round to the nearest tenth. HELP

jok3333 [9.3K]

Answer:

8.7 cm

Step-by-step explanation:

You know the relationship between the diagonal of a rectangular prism and the sides as $d^2 = x^2 + y^2 + z^2$ where x, y and z are the three dimensions of the prism. from your data, $25^2 =18^2 + 15^2 + z^2$ or $z^2 = 25^2 -18^2 - 15^2$ . With some simple calculation you get $z^2 = 625 - 324 - 225 = 76$ , or $z= 8.7178....$

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2 years ago

How do you round 103.468 to the nearest liter?

sergeinik [125]

103 stays because it is the whole number and the next number after the decimal is below 5.

103 is your answer.

8 0

2 years ago