# Find the Derivative - d/dx 16 fourth root of 4x^4+4

Use to rewrite as .

Since is constant with respect to , the derivative of with respect to is .

To apply the Chain Rule, set as .

Differentiate using the Power Rule which states that is where .

Replace all occurrences of with .

To write as a fraction with a common denominator, multiply by .

Combine and .

Combine the numerators over the common denominator.

Multiply by .

Subtract from .

Move the negative in front of the fraction.

Combine and .

Move to the denominator using the negative exponent rule .

Combine and .

Factor out of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

By the Sum Rule, the derivative of with respect to is .

Since is constant with respect to , the derivative of with respect to is .

Differentiate using the Power Rule which states that is where .

Multiply by .

Since is constant with respect to , the derivative of with respect to is .

Add and .

Combine and .

Multiply by .

Combine and .

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