IB Math AI Topic 5 Calculus Review

 Find  $\lim_{x\rightarrow-1\ }f\left(x\right)$  

• 4

• 0

• -1

• DNE

Tags

CCSS.HSF.IF.A.2

What is the limit of f(x) as x approaches 0?

(a)  

Tags

CCSS.HSF.IF.A.2

Find the derivative of the given equation
f(x) = 7

• 7
• 0
• 7x
• 14

The derivative of function $y=x^n$ is

•  $y'=x^{\left(n-1\right)}$ 

•  $y'=\left(n-1\right)x^n$ 

•  $y'=n\cdot x^{\left(n-1\right)}$ 

•  $y'=\left(n-1\right)x^{\left(n-1\right)}$ 

3:39-4:21

Choose the best explaination of Derivative below

• The speed of Bolt

• The slope of tangent line

• It's not important, just one of the useless ideas of differential calculus

• The average rate of change

Which if the following is not a correct notation for 'derivative?'

• f'(x)
• y'
• dy
• dy/dx

If a function has a derivative that is negative, what does that tell you?

• The function is increasing
• The function is decreasing
• The concavity of the function is up
• The concavity of the function is down

Tags

CCSS.HSF.IF.B.4

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

• find the area under a curve

• calculate the force of an object

• Find the altitude of an objects perimeter

Find the derivative of the given equation
f(x) = x³ + x² + 3

• 3x² + 2x
• 3x + 2x 
• 3x + 2x + 3
• x³ + x² 

Find the derivative of the given equation
f(x) = -4x

• 4
• x
• -4
• 0