Hello and thank you for your time.
The problem started out as:
Find the tangent line @ given point.
cos(x−y)+sin(y)=√2
@ (π/2,π/4)
I almost have the answer, but have issues simplifying farther.
The problem started out as:
Find the tangent line @ given point.
cos(x−y)+sin(y)=√2
@ (π/2,π/4)
I almost have the answer, but have issues simplifying farther.
∂ [cos(x−y)]+ ∂ [sin(y)]=0
≡ (−sin(x−y)) · ∂ [x−y]+cos(y) · ∂ [y]=0
≡ y′cos(y)−( ∂ [x]− ∂ [y] )sin(x−y)=0
≡ cos(y)y′−(1−y′)sin(x−y)=0
How do I solve for y' here?
Final answer should be:
y′=sin(y−x) · sin(y−x)−cos(y)
≡ (−sin(x−y)) · ∂ [x−y]+cos(y) · ∂ [y]=0
≡ y′cos(y)−( ∂ [x]− ∂ [y] )sin(x−y)=0
≡ cos(y)y′−(1−y′)sin(x−y)=0
How do I solve for y' here?
Final answer should be:
y′=sin(y−x) · sin(y−x)−cos(y)
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