# Find dy/dx y=sin(x^2)

Differentiate both sides of the equation.
The derivative of with respect to is .
Differentiate the right side of the equation.
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 .
Reorder.
Move to the left of .
Reorder the factors of .
Reform the equation by setting the left side equal to the right side.
Replace with .
Find dy/dx y=sin(x^2)

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