Estimate the gradient of a curve with chords

Question 1

For y = x³, find the gradient of the chord from x = 2 to x = 2.2. Give 2 decimal places.

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Question 2

For y = x², chords from x = −2 to x = −2 + h have gradients: h = 0.1: −3.9 h = 0.01: −3.99 h = 0.001: −3.999 What is the gradient of the curve at x = −2?

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Question 3

For y = x², find the gradient of the chord from x = −2 to x = −1.9.

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Question 4

For y = x³, find the gradient of the chord from x = 4 to x = 4.2. Give 2 decimal places.

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Question 5

For y = x², chords from x = 1 to x = 1 + h have gradients: h = 0.1: 2.1 h = 0.01: 2.01 h = 0.001: 2.001 What is the gradient of the curve at x = 1?

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Question 6

For y = x², find the gradient of the chord from x = 5 to x = 7.

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Question 7

For y = x³, find the gradient of the chord from x = 1 to x = 1.2. Give 2 decimal places.

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Question 8

For y = x², chords from x = −1 to x = −1 + h have gradients: h = 0.1: −1.9 h = 0.01: −1.99 h = 0.001: −1.999 What is the gradient of the curve at x = −1?

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Question 9

For y = x², find the gradient of the chord from x = 1 to x = 1.1.

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Question 10

For y = x³, find the gradient of the chord from x = 3 to x = 3.1. Give 2 decimal places.

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Question 11

For y = x², chords from x = 2 to x = 2 + h have gradients: h = 0.1: 4.1 h = 0.01: 4.01 h = 0.001: 4.001 What is the gradient of the curve at x = 2?

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Question 12

For y = x², find the gradient of the chord from x = 5 to x = 5.5.

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Question 13

For y = x³, find the gradient of the chord from x = 1 to x = 1.5. Give 2 decimal places.

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Question 14

For y = x², chords from x = −3 to x = −3 + h have gradients: h = 0.1: −5.9 h = 0.01: −5.99 h = 0.001: −5.999 What is the gradient of the curve at x = −3?

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Question 15

For y = x², find the gradient of the chord from x = 5 to x = 5.5.

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Question 16

For y = x³, find the gradient of the chord from x = 4 to x = 4.5. Give 2 decimal places.

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