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Home Q & A Board Science-Related Homework Help Mathematics
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quixie quixie
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solved
9 years ago
Differentiate the function.

f(x) = \({{{(sqrt{{x^{3}}-2}}+8x)}^{-2}}\)

a. f'(t) = \(-\frac{16{sqrt{{x^{3}}-2}}+3{x^{2}}}{({sqrt{{x^{3}}-2}})({{sqrt{{x^{3}}-2}}+8x)^{2}}}\)

b. f'(t) = \(-\frac{32{sqrt{{x^{3}}-2}}+3{x^{2}}}{(2{sqrt{{x^{3}}-2}})({{sqrt{{x^{3}}-2}}+8x)^{2}}}\)

c. f'(t) = \(-\frac{2{sqrt{{x^{3}}-2}}+16}{{{(sqrt{{x^{3}}-2}}+8x)^{3}}}\)

d. f'(t) = \(-\frac{2{sqrt{{x^{3}}-2}}+16}{{{(sqrt{{x^{3}}-2}}+8x)^{2}}}\)
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#1
Educator
9 years ago
(C)
quixie Author
wrote...
#2
9 years ago
Thank you for your help!
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