Mr. French Calculus - Derivatives Using Technology

Question 1

The definition of the numerical derivative (an approximation to the actual derivative) is:

Accepted Answer

f ′(x) ≈ limh→0 f(x + h) − f(x − h) / (2h)

Question 2

There are times when the "nDeriv" command will give a false answer, when will this be?

Accepted Answer

When the derivative of a function is not defined.

Question 3

In what order are your values after placing the "nDeriv" command in a calculator?

Accepted Answer

(Y1, X, X)

Question 4

f (x) = sin x cos x, a = π/4 ; Find f'(a) using a calculator.

Accepted Answer

0

Question 5

If f (x) = e-x − x, find f ′(−1) using a calculator.

Accepted Answer

-3.718

Question 6

If f (x) = x4 + 3x3− 5x2 − 6x find f ′(−2) using a calculator.

Accepted Answer

18.000

Question 7

How many decimal places should your answer be when taking the derivative of a function?

Accepted Answer

3-decimal places

Question 8

The derivative is defined as the slope of a tangent line to a function f (x). Its equation is:

Accepted Answer

f ′(x) = lim h→0 (f (x + h) − f (x)) / (h)

Question 9

Find f ′(3) for f (x) = x2 − 4x +1 using a calculator.

Accepted Answer

2.000

Question 10

When calculating the derivative of a function, which of these do you place your function into?

Accepted Answer

Y1

Questions 10