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stepladder [879]
2 years ago
7

Please help me with this question.​

Mathematics
1 answer:
Evgen [1.6K]2 years ago
8 0

Answer:

\purple{ \boxed{\frac{d^{2} y}{dx ^{2} }   =    \frac{132}{ {x}^{13} } }}

Step-by-step explanation:

y =  \frac{1}{ {x}^{11} }  \\ y =  {x}^{ - 11}  \\  \frac{dy}{dx}  =  \frac{d}{dx}  {x}^{ - 11}  \\ \frac{dy}{dx}  =   - 11{x}^{ - 11 - 1}  \\ \frac{dy}{dx}  =   - 11{x}^{ - 12}  \\  \\  \frac{d}{dx}  \bigg(\frac{dy}{dx}  \bigg) =  \frac{d}{dx}  ( - 11 {x}^{ - 12} ) \\  \\ \frac{d^{2} y}{dx ^{2} }   =   - 11\frac{d}{dx}  ( {x}^{ - 12} ) \\  \\ \frac{d^{2} y}{dx ^{2} }   =   - 11(  - 12{x}^{ - 13} ) \\  \\ \frac{d^{2} y}{dx ^{2} }   =   132{x}^{ - 13} \\  \\  \huge \red{ \boxed{\frac{d^{2} y}{dx ^{2} }   =    \frac{132}{ {x}^{13} } }}

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