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Home/Questions/Q 16474
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Pavanagg
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Pavanagg
Asked: April 29, 20222022-04-29T21:39:42+05:30 2022-04-29T21:39:42+05:30In: Mathematics

Compute the derivatives df/dx of the following functions. Describe your …

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Compute the derivatives df/dx of the following functions. Describe your steps in detail.

 

a. Use the chain rule, Provide the dimensions of every single partial derivative.

f(z) = exp(-1/2z)

z = g(y) = yTs–¹y

y=h(x) = x-μ

 

where x, μ∈RD, S∈RDxD.

 

b. Use the chain rule, Provide the dimensions of every single partial derivative. You do not need to compute the product of the partial derivatives explicitly.

 

f = tanh(z)∈RM

z = Ax+b, x∈RN, A∈RMxN, b∈RM

 

Here, tanh is applied to every component of z.

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      ADMIN 2
      2022-05-01T22:45:44+05:30Added an answer on May 1, 2022 at 10:45 pm

      Answer:

      A.

      Answer Not Loaded.... Use the chain rule, Provide the dimensions of every single partial derivative.  f(z) = exp(-1/2z)

      B.

      Answer Not Loaded.. Use the chain rule, Provide the dimensions of every single partial derivative. You do not need to compute the product of the partial derivatives explicitly.     f = tanh(z)∈RM

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