Find dy/dx given that y = sin(cos(x))
1 answer:
Hi there!

Use the chain rule:
f(g(x)) = f'(g(x)) · g'(x)
Thus:
dy/dx sin(x) = cos(x)
dy/dx cos(x) = -sin(x)
Use the chain rule format:
f(x) = sin(x)
g(x) = cos(x)
cos(cos(x)) · (-sin(x))
-sin(x)cos(cos(x))
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Domain : All real numbers
Range: y >= 0
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