The table below gives derivative values for the differentiable function f(x) whose derivatives are positive and increasing in value. Use the table below to find the LaGrange error bound if we estimate the value of f(1) using a 4th degree polynomial.

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Based on the information given, it should be noted that the LaGrange error bound will be E ≤ 4.

From the information given, it can be noted that the table below gives derivative values for the differentiable function f(x) whose derivatives are positive and increasing in value.

Therefore, the LaGrange error bound if we estimate the value of f(1) using a 4th degree polynomial will be:

= 6/4! (2 - 0)⁴

= 6/24 × 2⁴

= 1/4 × 16

= 4.

Therefore, the LaGrange error bound will be E ≤ 4.

Learn more about Langrage error on:

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proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc

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