Question Function Find the first partial derivative with respect to σ Find the first partial derivative with respect to ϵ ∂σ∂j=ϵ Simplify j=σϵFind the first partial derivative by treating the variable ϵ as a constant and differentiating with respect to σ ∂σ∂j=∂σ∂(σϵ)Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x)) ∂σ∂j=ϵ×∂σ∂(σ)Use ∂x∂xn=nxn−1 to find derivative ∂σ∂j=ϵ×1Solution ∂σ∂j=ϵ Show Solution Solve the equation Solve for ϵ Solve for σ Solve for j ϵ=σj Evaluate j=σϵSwap the sides of the equation σϵ=jDivide both sides σσϵ=σjSolution ϵ=σj Show Solution
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