Question

hw_2.3_exponential and logarithmic rule
due sunday by 11:59pm points 100 submitting an external tool
hw_2.1_basic derivative rules
due sep 14, 2025 11:59 pm.

1. submit answer practice similar

attempt 1: 10 attempts remaining.
use the rules of derivatives to calculate the derivative of the following function and simplify if possible. do not round.
g(x)=3e^x - 9x - 3
g(x)=

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:

$3e^x - 9$