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Bond [772]
3 years ago
13

HELP I NEED TO SIMPLIFY THIS

Mathematics
2 answers:
aleksley [76]3 years ago
8 0

letter c

Step by step Explanation:

(-1/3+1/9)(4²)+5/18

=-2/9(4²)+5/18

=-2/9(16)+5/18

=-32/9+5/18

=-59/18

<em>hope this help you!</em>

Dennis_Churaev [7]3 years ago
5 0

Step-by-step explanation:

= ( -  \frac{1}{3}  +  \frac{1}{9} ). {4}^{2}  +  \frac{5}{18}

= ( -  \frac{3}{9}  +  \frac{1}{9} ).16 +  \frac{5}{18}

=  -  \frac{2}{9} .16 +  \frac{5}{18}

=  -  \frac{32}{9}  +  \frac{5}{18}

=  -  \frac{64}{18}  +  \frac{5}{18}

=  -  \frac{59}{18}

Option → C

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Step-by-step explanation:

A composite function can be written as g(h(x)), where h and g are basic functions.

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The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.

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The function f(x)=3(4x^2+8)^5 is the composition, g(h(x)), of

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The derivative of this is computed as

\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=3\frac{d}{dx}\left(\left(4x^2+8\right)^5\right)\\\\\mathrm{Apply\:the\:chain\:rule}:\quad \frac{df\left(u\right)}{dx}=\frac{df}{du}\cdot \frac{du}{dx}\\f=u^5,\:\:u=\left(4x^2+8\right)\\\\3\frac{d}{du}\left(u^5\right)\frac{d}{dx}\left(4x^2+8\right)\\\\3\cdot \:5\left(4x^2+8\right)^4\cdot \:8x\\\\120x\left(4x^2+8\right)^4

The derivative of the function is \frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4.

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