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August 3, 2015

August 3, 2015

Posted by **Sasha** on Thursday, October 14, 2010 at 12:12pm.

B. solve th equation explicitly for y and differentiate to get y' in terms of x.

cos (x) + √y = 5

- calculus -
**Reiny**, Thursday, October 14, 2010 at 12:19pma)

- sin(x) + (1/2)y^(-1/2)dy/dx = 0

-(1/4)(1/√y)dy/dx = sin(x)

dy/dx = -4√y sin(x)

b)

√y = 5 - cosx

y = 25 - 10cosx + cos^2 x

dy/dx = -10cosx + 2(cosx)(-sinx)

= -2cosx(5cos(x) + 2sin(x))