# Find the Derivative - d/dx cos(x^2)

Find the Derivative - d/dx cos(x^2)
Differentiate using the chain rule, which states that is where and .
To apply the Chain Rule, set as .
The derivative of with respect to is .
Replace all occurrences of with .
Differentiate using the Power Rule.
Differentiate using the Power Rule which states that is where .
Simplify the expression.
Multiply by .
Reorder the factors of .
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