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What is the derivative of cos pi x plus sin pi y all to the 8th power equals 44?
Wiki User
∙ 12y ago
(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)
Wiki User
∙ 12y ago
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