Answer:

General Formulas and Concepts:
Calculus
Differentiation
- Derivatives
- Derivative Notation
Derivative Property [Multiplied Constant]:
![\displaystyle (d)/(dx) [cf(x)] = c \cdot f'(x)](https://img.qammunity.org/2022/formulas/mathematics/high-school/rwpyhrof52dro5d128gleq5obchnuu5qkj.png)
Derivative Property [Addition/Subtraction]:
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Explanation:
*Note:
Treat k as an arbitrary constant.
Step 1: Define
Identify

Step 2: Differentiate
- Derivative Property [Addition/Subtraction]:
![\displaystyle y' = (d)/(dx)[4x] + (d)/(dx)[k]](https://img.qammunity.org/2022/formulas/mathematics/high-school/f90258l05qr3mq4dlktpve6xojdp1xyan5.png)
- Rewrite [Derivative Property - Multiplied Constant]:
![\displaystyle y' = 4 (d)/(dx)[x] + (d)/(dx)[k]](https://img.qammunity.org/2022/formulas/mathematics/high-school/hzc4iti3lwrorfy3fp8ii6qwbm3310utco.png)
- Basic Power Rule:

Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation