hw_2.3_exponential and logarithmic rule\ndue sunday by 11:59pm points 100 submitting an external…
hw_2.3_exponential and logarithmic rule\ndue sunday by 11:59pm points 100 submitting an external tool\nhw_2.1_basic derivative rules\ndue sep 14, 2025 11:59 pm.\n13. submit answer practice similar\nattempt 1: 10 attempts remaining.\nuse the rules of derivatives to calculate the derivative of the following function and simplify if possible. do not round.\ng(x)=3e^x - 9x - 3\ng(x)=
Answer
Explanation:
Step1: Recall derivative rules
The derivative of $e^x$ is $e^x$, and the derivative of $ax$ (where $a$ is a constant) is $a$, and the derivative of a constant $c$ is $0$.
Step2: Differentiate each term
For the first - term $3e^x$, using the constant - multiple rule and the derivative of $e^x$, its derivative is $3e^x$. For the second - term $-9x$, its derivative is $-9$. For the third - term $-3$ (a constant), its derivative is $0$.
Step3: Combine the derivatives
$g^{\prime}(x)=3e^x - 9+0$.
Answer:
$3e^x - 9$