2000
Mathematics
67ca00ce0c643c71d77dee1f
If y = 2x - sin2x, find dy/dx when x = π/4
A.
π
B.
-π
C.
π/2
D.
-π/2
Correct Answer: -π/2
Explanation
y = 2x cos2x - sin2x dy/dx = 2 cos2x +(-2x sin2x) - 2 cos2x = 2 cos2x - 2x sin2x - cos2x = -2x sin2x = -2 x (π/4) sin2 x (π/4) = -(π/2) x 1 = -(π/2)
y = 2x cos2x - sin2x dy/dx = 2 cos2x +(-2x sin2x) - 2 cos2x = 2 cos2x - 2x sin2x - cos2x = -2x sin2x = -2 x (π/4) sin2 x (π/4) = -(π/2) x 1 = -(π/2)THIS WEEK's
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