1. a) Find the slope of the tangent line to the graph of the function at the given point. f(x) =...

Question:

1. a) Find the slope of the tangent line to the graph of the function at the given point.

{eq}\displaystyle f(x) = - 4x + 2\ {/eq} at {eq}\ (-1,\ 6) {/eq}.

b) Determine an equation of the tangent line.

Tangent Line:

The slope of the tangent line to the graph of the given function is equal to the first derivative of the function. The slope intercept from of the tangent line is {eq}y = mx + c {/eq}.

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(a)

Given

{eq}\displaystyle f(x) = - 4x + 2\ {/eq} at {eq}\ (-1,\ 6) {/eq}

Differentiating the function, we get:

{eq}\begin{aligned} f'(x) &=...

Tangent Line: Definition & Equation

from

Chapter 1 / Lesson 11
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In this lesson, we explore the idea and definition of a tangent line both visually and algebraically. After learning how to calculate a tangent line to a curve, you will find a short quiz to test your knowledge.