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(cos(pi x) + sin(pi y) )^8 = 44

differentiate both sides with respect to x

8 ( cos(pi x) + sin (pi y ) )^7 d/dx ( cos(pi x) + sin (pi y) = 0

8 ( cos(pi x) + sin (pi y ) )^7 (-sin (pi x) pi + cos (pi y) pi dy/dx ) = 0

8 ( cos(pi x) + sin (pi y ) )^7 (pi cos(pi y) dy/dx - pi sin (pi x) ) = 0

cos(pi y) dy/dx - pi sin(pi x) = 0

cos(pi y) dy/dx = sin(pi x)

dy/dx = sin (pi x) / cos(pi y)

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13y ago

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