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Calculus Terminology

Total questions: 14

Worksheet time: 19mins

Name
Class
Date
1.

Calculate the gradient function means to

a)

Calculate the derivative

b)

Calculate the antiderivative

2.

After finding the derivative of a function and substituting a known value of x, the answer is negative. What does that tell you?

a)

The function is increasing

b)

The function is decreasing

c)

The concavity of the function is up

d)

The concavity of the function is down

3.
The acceleration function is the first derivative of...
a)
position
b)
velocity
c)
calculus
d)
particle motion
4.

If f'(x) = 0 what does that imply about the x value?

a)

It is a stationary point

b)

That the limit does not exist.

5.

Rate of change is another way of saying...

a)

The gradient

b)

The slope

c)

dy/dx

6.

Integration is the inverse of differentiation but it applications it can be used to....

a)

find the area under a curve

b)

calculate the force of an object

c)

Find the altitude of an objects perimeter

7.

Is differentiating the same as taking the derivative?

a)

yes

b)

no

c)

sometimes

8.

When asked to calculate the tangent of a function at a given point, you need to first

a)

Calculate the derivative of the function

b)

Calculate the antiderivative of the function

9.

Calculate the antiderivative means to

a)

Integrate the function

b)

Find dy/dx

c)

Calculate the derivative

10.

What rule would you use tofind the derivative. f(x) = ex(3x42)f\left(x\right)\ =\ e^x\left(3x^4-2\right)  

a)

Product Rule

b)

Quotient Rule

c)

Chain Rule

11.

What rule would you use to calculate the derivative of the above

a)

Product Rule

b)

Quotient Rule

c)

Chain Rule

12.

What rule would you use to calculate the derivative of the above?

a)

Quotient Rule

b)

Product Rule

c)

Chain Rule

13.

Evaluate means to

a)

Calculate a numerical answer

b)

Simplify

c)

Expand

d)

Factorise

14.

What do you do when it asks you to solve for x?

a)

Determine the value of x to satisfy the function through 'solving'.

b)

Guess a value of x and check