Find the Derivative – d/dx y=(arctan(5x))^2

Math
Differentiate using the chain rule, which states that is where and .
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To apply the Chain Rule, set as .
Differentiate using the Power Rule which states that is where .
Replace all occurrences of with .
Differentiate using the chain rule, which states that is where and .
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To apply the Chain Rule, set as .
The derivative of with respect to is .
Replace all occurrences of with .
Differentiate.
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Factor out of .
Combine fractions.
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Simplify the expression.
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Apply the product rule to .
Raise to the power of .
Combine and .
Combine and .
Since is constant with respect to , the derivative of with respect to is .
Combine fractions.
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Combine and .
Multiply by .
Differentiate using the Power Rule which states that is where .
Simplify the expression.
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Multiply by .
Reorder terms.
Find the Derivative – d/dx y=(arctan(5x))^2

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