Question Function Find the first partial derivative with respect to k Find the first partial derivative with respect to x ∂k∂f=21x Simplify f=21kxFind the first partial derivative by treating the variable x as a constant and differentiating with respect to k ∂k∂f=∂k∂(21kx)Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x)) ∂k∂f=21x×∂k∂(k)Use ∂x∂xn=nxn−1 to find derivative ∂k∂f=21x×1Solution ∂k∂f=21x Show Solution Solve the equation Solve for x Solve for k x=k2f Evaluate f=21kxSwap the sides of the equation 21kx=fDivide both sides 21k21kx=21kfDivide the numbers x=21kfSolution More Steps Evaluate 21kfMultiply by the reciprocal f×k2Multiply the numbers kf×2Multiply the numbers k2f x=k2f Show Solution
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