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junior college 1 | H1 Maths
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Hi, Im really not sure how to do this question. Please help. Thank you
Date Posted: 5 years ago
Views: 315
Step 1: Power down
Step 2: Power minus 1
Step 3 differentiate inside
After Step 1: 2(sin x - cos x)^2
After Step 2: 2(sin x - cos x )
After Step 3: 2(sin x - cos x)( cos x + sin x)
2(sin x - cos x)( cos x + sin x)
= 2 ((sin x )^2 - (cos x)^2 )
=2(sin x )^2 - 2(cos x )^2
=1- cos 2x - 2(cos x )^2
Step 2: Power minus 1
Step 3 differentiate inside
After Step 1: 2(sin x - cos x)^2
After Step 2: 2(sin x - cos x )
After Step 3: 2(sin x - cos x)( cos x + sin x)
2(sin x - cos x)( cos x + sin x)
= 2 ((sin x )^2 - (cos x)^2 )
=2(sin x )^2 - 2(cos x )^2
=1- cos 2x - 2(cos x )^2
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