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3 years ago

6

True or false: In order to fill this figure with units cubes, you would need to fill in 7 cubes in length, 10 cubes in height, a

nd 3 cubes in width. Then, you would fill the reset of the space with cubes

1 answer:

Marysya12 [62]3 years ago

8 0

Answer:

true

Step-by-step explanation:

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In Exercise find the derivative of the functions.<br> f(x) = (4x - 3)(x2 + 9)

pashok25 [27]

Answer: $f'(x)=12x^2 - 6x+36$

Step-by-step explanation:

According to the product rule of derivatives.

$f'(x)=u'(x)v(x)+u(x)v'(x)$

The given function : $f(x) = (4x - 3)(x^2 + 9)$

here , $u(x) = 4x - 3$ and $v(x)=x^2 + 9$

Differentiate both sides with respect to x, we get

$u'(x) = 4+0=4$ and $v(x)=2x +0=2x$

$[\because \dfrac{d(ax)}{dx}=a\ , \dfrac{d(a)}{dx}=0 \ \&\ \ \dfrac{d(x^n)}{dx}=nx^{n-1}]$

Then, Tge derivative of withe respect to x will be :

$f'(x)=u'(x)v(x)+u(x)v'(x)$

$=4(x^2 + 9)+( 4x - 3)(2x)$

$=4x^2 +36+8x^2 - 6x$

$=12x^2 - 6x+36$

Hence, the derivative of the function is $f'(x)=12x^2 - 6x+36$ .

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4 years ago

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vladimir1956 [14]

$3x({x}^{2} + 2x - 4)$

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$b. \: 3 {x}^{3} + 6 {x}^{2} - 12x$

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3 years ago