Question: In calculus, the derivative of the composition of two or more functions is computed by one of the following rules.
Answer: The chain rule

Question: Given that \\(z=(2x+y^2 )^3, ∂z/∂y\\) equals
Answer: \\(6y–(2x+y^2)—^2\\)

Question: The converse of Eulerâ€s theorem is
Answer: true

Question: \\((f°g)^\’ (c)\\) equals
Answer: \\f^\’ (g(c))âˆg^\’ (C)\\)

Question: The entries of the Jacobian matrix are
Answer: partial derivatives.

Question: \\(d/dx(e^sinâ¡ã€–x^2 〗 )\\) equals
Answer: \\(e^sinâ¡–x^2 — cosâ¡–x^2 —2x\\)

Question: In number theory, Eulers theorem states that if n and a are co-prime positive integers, then
Answer: \\( a^(φ(n))≡1(modn)\\)

Question: Given that \\(z=lnâ¡–(2x^2+4y^2)—, ∂z/∂x equals\\)
Answer: \\(4x〖(2x^2+4y^2)—^(-1)\\)

Question: For\\( z=e^(3xy^2 ), ∂z/∂y\\) equals
Answer: \\(6xye^(3xy^2 )\\).

Question: The chain rule for total derivatives implies a chain rule for
Answer: partial derivatives

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