Answer:
(d) ![\displaystyle 12x^3 - 15x^2 + 2](https://tex.z-dn.net/?f=%5Cdisplaystyle%2012x%5E3%20-%2015x%5E2%20%2B%202)
General Formulas and Concepts:
<u>Algebra I</u>
- Functions
- Function Notation
<u>Calculus</u>
Derivatives
Derivative Notation
Derivative Property [Addition/Subtraction]:
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
![\displaystyle y = 3x^4 - 5x^3 + 2x - 1](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20%3D%203x%5E4%20-%205x%5E3%20%2B%202x%20-%201)
<u>Step 2: Differentiate</u>
- Basic Power Rule:
![\displaystyle y' = 4(3x^{4 - 1}) - 3(5x^{3 - 1}) + 2x^{1 - 1} - 0](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%20%3D%204%283x%5E%7B4%20-%201%7D%29%20-%203%285x%5E%7B3%20-%201%7D%29%20%2B%202x%5E%7B1%20-%201%7D%20-%200)
- Simplify:
![\displaystyle y' = 4(3x^3) - 3(5x^2) + 2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%20%3D%204%283x%5E3%29%20-%203%285x%5E2%29%20%2B%202)
- Multiply:
![\displaystyle y' = 12x^3 - 15x^2 + 2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%20%3D%2012x%5E3%20-%2015x%5E2%20%2B%202)
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
Answer:
i did't see the value I in the equation
Step-by-step explanation: