61.2k views
5 votes
Im so bad at this. i really need help

Im so bad at this. i really need help-example-1

1 Answer

2 votes

Answer:

[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

User Cabhishek
by
6.7k points