Calc Quiz on 4/3/2020

• cosx
• -cosx
• -sinx cosx
• sinx cosx

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

The image displays the ______

• Limit definition of the first derivative

• The bane of my existance

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

• It is a critical point, it is a possible max, min, or point of inflection.

• That the limit does not exist.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the derivative of csc(x)?

• csc(x)cot(x)
• -csc(x)cot(x)
• -csc²(x) 
• -cot²(x)

What is the derivative of xⁿ?

• (n-1)xⁿ
• nxⁿ⁺¹
• (n+1)x^n-1
• nx^n-1

What is the derivative of tan(x)?

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

Tags

CCSS.HSF.TF.C.9

Find the gradient of the curve with equation

2x² − 4xy + 3y² = 3, at the point (2, 1).

• 2

• 3

• 4

• 5

 $\int_{ }^{ }\left(x^{3\ }+\frac{1}{x^3}\right)\ dx$  

•  $\frac{x^{4\ }}{4}-\frac{x^{-2}}{2\ }+c$  

•  $\frac{x^{4\ }}{4}+\frac{x^{-2}}{2}+c$  

•  $\frac{x^4}{4}-\frac{x^2}{2\ }+c$  

•  $\frac{-x^4}{4}+\frac{x^{2\ }}{2\ }+c$  

What is the limit?

• DNE
• Infinity
• 6
• 12

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7