Final Answer
Step-by-step Solution
Specify the solving method
Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=3x+5$ and $g=2x+3$
The derivative of a sum of two or more functions is the sum of the derivatives of each function
The derivative of a sum of two or more functions is the sum of the derivatives of each function
The derivative of the constant function ($5$) is equal to zero
The derivative of the constant function ($3$) is equal to zero
The derivative of the linear function times a constant, is equal to the constant
The derivative of the linear function times a constant, is equal to the constant
The derivative of the linear function is equal to $1$
The derivative of the linear function is equal to $1$
Simplify the derivative