Exercises for Question Type 1: Finding the derivative of a polynomial with different ranges of integers

Question 1

Skill question

Compute the derivative of the constant function $f (x) = 7$ .

[1]

Question 2

Skill question

Compute the derivative of $- 4 x^{4} + 7 x^{2} - x + 6$ .

[2]

Question 3

Skill question

Find $\frac{d}{d x} (9 x^{6} - 5 x^{4} + 2 x - 8)$ .

[3]

Question 4

Skill question

Find the derivative of $x^{7} - x^{5} + 4 x^{3} - 2 x + 1$ .

[2]

Question 5

Skill question

Differentiate $- 6 x^{8} + 3 x^{6} - x^{2} + 12$ .

[4]

Question 6

Skill question

Find the derivative of the polynomial $5 x^{3} + 8 x^{2} + 9 x + 3$ .

Find the derivative.

[2]

Question 7

Skill question

Find the derivative of $10 x^{12} - 5 x^{10} + 2 x^{7} - x^{4} + 8 x - 3$ .

[2]

Question 8

Skill question

Find the derivative of $3 x^{4} + 2 x^{2} - x + 4$ with respect to $x$ .

[2]

Question 9

Skill question

Differentiate $- x^{11} + 6 x^{9} - 4 x^{6} + 3 x^{2} - 7$ .

[2]

Question 10

Skill question

Find the derivative of $7 x^{9} - 2 x^{7} + 5 x^{4} - 9 x$ .

[3]

Question 11

Skill question

Compute the derivative of $4 x^{10} + x^{8} - 3 x^{5} + 2 x^{3} - x + 5.$

[2]

Question 12

Skill question

Determine the derivative of $2 x^{5} - 3 x^{3} + x^{2} - 4 x + 10$ .

[3]

IB Mathematics Analysis and Approaches Question Type 1: Finding the Derivative of a Polynomial with Different Ranges of Integers Exercises