Question

*The rate of change of slope of a tangent is a ________:*

1️⃣ double derivative
2️⃣ first derivative
3️⃣ normal
4️⃣ differentiation
need immidate answer plz​

Answer 1

Answer:

1. Double derivative

.........

Answer 2

Answer:

1. double derivative

Step-by-step explanation:

Concept= Derivatives

Given= Rate of change of slope of Tangent

To Find= Which derivative is the rate

Explanation=

A tangent comprises of slope and coordinates.

A tangent is the  line just passing through the circles surface.

To find the slope of tangent we need the equation,

Let the equation be y-x-1=0

We reduce the equation to y=x+1

Slope is the differentiation of the equation of tangent. Here,

dy/dx = 1     This is the slope we get after differentiating one time . which means slope is the first derivative.

To find the rate of any thing we need to differentiate it. So here to find the Rate of slope we differentiate the slope we got.

Here we observe that slope was the first derivative and to find rate we differentiated it again which means that rate is the double derivative of the equation of tangent.

Therefore, Rate of change of slope of tangent is double derivative.

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