Respuesta :

Answer: the answer is 3

Step-by-step explanation: The gradient (or slope) of the tangent to a curve at any particular point is given by the derivative at that point If y = x 3 then d y d x = 3 x 2 When x = 1 ⇒ d y d x = 3 So the slope equals 3

The slope of the tangent line to the graph of each equation at x = 1. y = 3x will be 3.

What is the slope?

A numerical assessment of a line's angle relative to the ground is known as the slope.

The inclination of any line, ray, or line segment is the fraction of the perpendicular to the horizontal distance between any two positions on it.

The slope is found by the relation;

[tex]\rm m = \frac{dy}{dx} \\\\ m= \frac{d(3x)}{dx} \\\\ m=3[/tex]

Hence,the slope of the tangent line to the graph of each equation at x = 1. y = 3x will be 3.

To learn more about the slope, refer to the link;

https://brainly.com/question/3605446

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