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

Math
Use to rewrite as .
Multiply by by adding the exponents.
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Multiply by .
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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 .
Differentiate.
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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.
Simplify the numerator.
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Multiply by .
Subtract from .
Combine and .
Differentiate using the Exponential Rule which states that is where =.
Simplify.
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Apply the distributive property.
Apply the distributive property.
Combine terms.
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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)

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