find (∂w/∂θ) and (∂w/∂φ) given that w(x,y,z)=f(x^2 +y^2 +z^2 ) where x=rcosθcosφ y=rcosθsinφ,z=rsinθ.


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Question Number 126478 by BHOOPENDRA last updated on 20/Dec/20

$f i n d \frac{\partial w}{\partial θ} a n d \frac{\partial w}{\partial ϕ} g i v e n t h a t$ $w (x, y, z) = f (x^{2} + y^{2} + z^{2}) w h e r e x = r c o s θ c o s ϕ$ $y = r c o s θ s i n ϕ, z = r s i n θ .$
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