Use to rewrite as .

Multiply by .

Raise to the power of .

Use the power rule to combine exponents.

Write as a fraction with a common denominator.

Combine the numerators over the common denominator.

Add and .

Differentiate using the Product Rule which states that is where and .

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

Differentiate using the Power Rule which states that is where .

Differentiate using the Power Rule which states that is where .

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

Combine and .

Combine the numerators over the common denominator.

Multiply by .

Subtract from .

Combine and .

Differentiate using the Exponential Rule which states that is where =.

Apply the distributive property.

Apply the distributive property.

Combine terms.

Multiply by .

Combine and .

Move to the left of .

Reorder terms.

Find the Derivative – d/dp y=e^p(p+p square root of p)