CALCULUS

What is the derivative of cot(x)?

• sec²(x)
• -sec²(x)
• csc²(x)
• -csc²(x)

What is the derivative of cos(x)?

• sin(x)
• -sin(x)
• cos(x)
• -cos(x)

Which of the following is true?

• the derivative is a way to show rate of change, that is - the amount by which a function is changing at one given point

• dx/dy is the derivative

Tags

CCSS.HSF.IF.B.6

Rate of change is another way of saying...

• The gradient

• The slope

• dy/dx

Tags

CCSS.HSF.IF.B.6

CCSS.HSS.ID.C.7

• 
• 
• 
• 

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

• A
• B
• C
• D

Tags

CCSS.HSF.IF.A.2

Find f’(x) when f(x) = sin(4x+5)

• 3cos(3x)

• 4sin(4x+5)

• 4cos(4x+5)

• 4sin(4x)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

What is the acceleration function for the particle whose position is defined by s(t) = 3t * lnt

• a(t) = ln(x) +3

• a(t) = 3/x

• a(t)= 3ln(x)+1

• a(x)= 3ln(x) + 3

Tags

CCSS.HSF.BF.B.5

 $\int u^ndu=$  

•  $\ln u+C$  

•  $u^{n+1}+C$  

•  $\frac{u^{n+1}}{n+1}+C$  

•  $u^{n-1}+C$  

Tags

CCSS.HSA.APR.A.1

 $\frac{\text{d}}{\text{d}x}\left(\ln\left|x\right|\right)=$  

•  $e^x$  

•  $-x^{-1}$  

•  $-x^{-2}$  

•  $\frac{1}{\left|x\right|}$  

Tags

CCSS.HSF.BF.B.5