Worksheet: An Introduction to the Definition of the Derivative

Q1:

If the function , find .

• A
• B
• C
• D
• E

Q2:

If the function , find .

• A
• B
• C
• D9
• E

Q3:

If the function , find .

• A
• B
• C
• D12
• E

Q4:

If the function , find .

• A
• B
• C
• D4
• E

Q5:

Let . Use the definition of derivative to determine . What is the gradient of the tangent to its graph at ?

• A, the gradient of the tangent at point
• B, the gradient of the tangent at point
• C, the gradient of the tangent at point
• D, the gradient of the tangent at point
• E, the gradient of the tangent at point

Q6:

Let . Use the definition of derivative to determine . What is the gradient of the tangent to its graph at ?

• A, the gradient of the tangent at point
• B, the gradient of the tangent at point
• C, the gradient of the tangent at point
• D, the gradient of the tangent at point
• E, the gradient of the tangent at point

Q7:

Let . Use the definition of derivative to determine . What is the gradient of the tangent to its graph at ?

• A, the gradient of the tangent at point
• B, the gradient of the tangent at point
• C, the gradient of the tangent at point
• D, the gradient of the tangent at point

Q8:

Let . Use the definition of derivative to determine . What is the gradient of the tangent to its graph at ?

• A, the gradient of the tangent at point
• B, the gradient of the tangent at point
• C, the gradient of the tangent at point
• D, the gradient of the tangent at point

Q9:

Find the derivative of the function using the definition of derivative, and then state the domain of the function and the domain of its derivative.

• A, ,
• B, ,
• C, ,
• D, ,
• E, ,

Q10:

Find the derivative of the function using the definition of derivative, and then state the domain of the function and the domain of its derivative.

• A, ,
• B, ,
• C, ,
• D, ,
• E, ,

Q11:

Find the derivative of the function using the definition of derivative, and then state the domain of the function and the domain of its derivative.

• A, ,
• B, ,
• C, ,
• D, ,
• E, ,

Q12:

Let . Use the definition of derivative to determine . What is the gradient of the tangent to its graph at ?

• A, the gradient of the tangent at point
• B, the gradient of the tangent at point
• C, the gradient of the tangent at point
• D, the gradient of the tangent at point

Q13:

Let . Use the definition of the derivative to determine .

• A
• B
• C
• D

Q14:

Determine the derivative of the function using the definition of the derivative.

• A
• B
• C
• D

Q15:

Evaluate .

• A
• B
• C
• D
• E

Q16:

Evaluate .

• A
• B
• C
• D
• E