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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 & Slopes

Hint

The derivative of $$x^n$$ is $$nx^{n-1}$$.

1 / 5

If $$y=x^2$$, what is $$\dfrac{dy}{dx}$$?

Hint

The derivative of $$a^x$$ is $$a^x\ln a$$.

2 / 5

If $$y=2^x$$, what is $$\dfrac{dy}{dx}$$?

Hint

The derivative of $$x^n$$ is $$nx^{n-1}$$.

3 / 5

If $$y=\dfrac{1}{x}$$, what is $$\dfrac{dy}{dx}$$?

Hint

The derivative of $$e^{ax}$$ is $$ae^{ax}$$.

4 / 5

If $$y=e^{-2x}$$, what is $$\dfrac{dy}{dx}$$?

Hint

The derivative of $$e^{ax}$$ is $$ae^{ax}$$.

5 / 5

For which of the following functions is $$y(x)=y'(x)$$?