# Find the Derivative g(x)=5e^x square root of x

Differentiate using the Constant Multiple Rule.
Rewrite as .
Since is constant with respect to , the derivative of with respect to is .
Differentiate using the Product Rule which states that is where and .
Differentiate using the Power Rule which states that is where .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Combine.
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
Subtract from .
Combine fractions.
Move the negative in front of the fraction.
Combine and .
Combine and .
Move to the denominator using the negative exponent rule .
Differentiate using the Exponential Rule which states that is where =.
Simplify.
Apply the distributive property.
Combine and .
Reorder terms.
Find the Derivative g(x)=5e^x square root of x