Module 10 - Derivative of a Function

Module 10 - Answers

Lesson 1

Answer 1

10.1.1

The slopes of the secant lines appear to converge to 1, so the derivative is probably about 1.

Lesson 2

Answer 1

10.2.1

appears to be differentiable at x = 0 because it is locally linear there
appears not to be locally there.

Lesson 3

Answer 1

10.3.1 The derivatives of the function at the given x-values are -4, -2, 0, 2, and 4, respectively.

Answer 2

10.3.2 The derivative at x = 1.22 is 2.44, which means that the slope of the line tangent to the curve at x = 1.22 is 2.44.

Answer 3

10.3.3

The derivative function is f ' (x) = 6x + 4.

Self Test

Answer 1

6.03, 6.003, 6.0003

Answer 2

Answer 3

Answer 4

y = 6(x - 1) + 3

[0.9812, 1.0188] x [2.89999, 3.09999]

Answer 5

Answer 6

y = 6x