11/20 Calculus 2.1-2.3 Review

Derivative means the same thing as

• slope of the tangent line
• slope of the normal line
• exponent
• slope of the secant line

At which point(s) will the slope(s) of the tangent line be POSITIVE?

• at C only

• at points A, C and E only

• at point B and D only

• at points A and E only

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Given that f(x) = x² - 3x, which of the following represents f(x + h)

• x² - 3x + h
• x + h² - 3x + h
• (x + h)² - 3(x + h)
• x² + h - 3x + h

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

What is the derivative of xⁿ?

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

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

• f'(x)
• y'
• dy
• dy/dx

TRUE or FALSE: f ' (2) = 5 means the y-value of the function f(x) at x = 2 is 5. 

• TRUE
• FALSE

Tags

CCSS.HSF.IF.A.1

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

• 4
• x
• -4
• 0

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

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

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

• sinx
• -sinx
• -cscx cotx
• sec²x

Tags

CCSS.HSF.TF.C.8

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4