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Miracle Brock
Mathematics
28 October, 04:24
Second derivative of y=2x^ (1/5) + 3
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Dahlia Dominguez
28 October, 04:44
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d²y/dx² = - 8/25 (x) ^ (-9/5)
Step-by-step explanation:
y = 2 (x) ^ (1/5) + 3
Use power rule:
dy/dx = 2 (1/5) (x) ^ (1/5 - 1)
dy/dx = 2/5 (x) ^ (-4/5)
Use power rule again:
d²y/dx² = 2/5 (-4/5) (x) ^ (-4/5 - 1)
d²y/dx² = - 8/25 (x) ^ (-9/5)
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