Question

Im so bad at this. i really need help

Answer 1

[D]
`\displaystyle \lim_(h \to 0) ([5(x + h)^2 - 2(x + h)] - (5x^2 - 2x))/(h)`

General Formulas and Concepts:

Calculus

Limits

Derivatives

Definition of a Derivative:
`\displaystyle f'(x)= \lim_(h \to 0) (f(x+h)-f(x))/(h)`

Explanation:

Step 1: Define

Identify

`\displaystyle f(x) = 5x^2 - 2x`

Step 2: Differentiate

1. Substitute in function [Definition of a Derivative]:
   `\displaystyle f'(x)= \lim_(h \to 0) ([5(x + h)^2 - 2(x + h)] - (5x^2 - 2x))/(h)`

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

Unit: Derivatives

Book: College Calculus 10e