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Differentiate (cos θ - sin θ)2
Question 1
Report
Differentiate (cos θ - sin θ)
2
-2 cos 2θ
-2 sin2θ
1 - 2 cos 2θ
1 - 2 sin 2θ
Answer Details
y = (cosθ - sinθ)
dy/dx = 2(cosθ - sinθ)(-sinθ - cosθ)
dy/dx = 2(-cosθsinθ - cos
2
θ + sin
2
θ)
dy/dx = 2(- cos
2
θ + sin
2
θ)
= -2(cos
2
θ - sin
2
θ)
= -2(1 - sin
2
θ)
= -2cos2θ
Read lesson note on Differentiation (JAMB)
Differentiation
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