Posted by je on Tuesday, August 9, 2011 at 10:36pm.
Is it
(1/4)t or 1/(4t)?
(1/4)t
d/dx(sinx+cosx)
(1/4)t + 3/5= 2/5 - t
=> (5/4)t + 3/5 = 2/5
=> (5/4)t = -1/5
=> t/4 = -1/25
=> t = -4/25
Strictly the equation should read
(d/dx)(sin(x) + cos(x))
=> (d/dx)sin(x) + (d/dx)cos(x)
=> cos(x) - sin(x)
The differentials of sin and cos should be learned. You can demonstrate the results by differentiating their respective series
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