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Find the value of
dx
when
y = cos (x - y)
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1
Answer:
- sin(x - y)
Step-by-step explanation:
=> d(cos(x-y))/dx
=> d(cosx.cosy + sinx.siny)/dx
=> d(cosx.cosy)/dx + d(sinx.siny)/dx
=> cosy.d(cosx)/dx + siny.d(sinx)/dx
=> cosy(-sinx) + siny(cosx)
=> - sinx.cosy + siny.cosx
=> - [ sinx.cosy - siny.cosx]
=> - [sin(x - y)]
=> - sin(x - y)
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