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Course Content
Algebra 1
0/14
Algebra 2
0/16
Trigonometry 1
0/18
Coordinate Geometry of the Line
0/14
Probability 1
0/14
Geometry 1
0/6
Differential Calculus
0/10
Trigonometry 2
0/10
Sequences & Series
0/12
Statistics 1
0/9
Coordinate Geometry of the Circle
0/14
Algebra 3
0/16
Complex Numbers
0/12
Geometry 2
0/4
Integration
0/8
Differential Calculus Applications
0/8
Financial Maths
0/8
Length, Area & Volume
0/6
Probability 2
0/9
Functions
0/15
Statistics 2
0/4
Inferential Statistics
0/6
Digital Lessons

Knowledge Check Quiz

#### EXAMS.IE

##### Derivatives by Rule

Hint

This is the product of two functions that we can differentiate.

1 / 5

If we wish to find the derivative of $$x^2\cos x$$, which of the following rules should we use?

Hint

This is the division of two functions that we can differentiate.

2 / 5

If we wish to find the derivative of $$\dfrac{\cos x}{x^2}$$, which of the following rules should we use?

Hint

This is the product of two functions that we can differentiate.

3 / 5

If we wish to find the derivative of $$\dfrac{x\cos x}{2}$$, which of the following rules should we use?

Hint

This is a nested function in which we know how to differentiate the internal function.

4 / 5

If we wish to find the derivative of $$\cos(x^2)$$, which of the following rules should we use?

Hint

This is a nested function in which we know how to differentiate the internal function.

5 / 5

If we wish to find the derivative of $$(\cos x)^2$$, which of the following rules should we use?