## Thomas' Calculus 13th Edition

$h_p=sinΦcosθ$ $h_Φ=pcosΦcosθ$ $h_θ=-psinΦsinθ$
Take the first partial derivatives of the given function. When taking partial derivative with respect to Φ, treat Φ and θ as constants, with respect to Φ, treat Φ and θ as constants, and with respect to θ, treat p and Φ as constants: $h_p=sinΦcosθ$ $h_Φ=pcosΦcosθ$ $h_θ=-psinΦsinθ$