Question

please help me. Calculus AB. WILL GIVE BRAINLIEST ANSWER​

Answer 1

Answer:

E. -4

General Formulas and Concepts:

Algebra I

• Reading a coordinate plane
• Coordinates (x, y)
• Slope Formula: $\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}$

Calculus

Derivatives

• The definition of a derivative is the slope of the tangent line

Derivative Notation

Step-by-step explanation:

Step 1: Define

Identify

Given a graph of g(x) and asked to find g'(0).

Step 2: Find

We approximate g'(0) by finding the tangent line at x = 0.

Identifying points (1, -4) and (-1, 4), we can find the tangent line:

1. Substitute in points [Slope Formula]:                                                              $\displaystyle m = \frac{4 - -4}{-1 - 1}$
2. [Slope] Subtract:                                                                                               $\displaystyle m = \frac{8}{-2}$
3. [Slope] Divide:                                                                                                  $\displaystyle m = -4$

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

Unit: Derivatives

Book: College Calculus 10e