The Product Rule

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

• f'(x)
• y'
• dy
• dy/dx

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

• 7
• 0
• 7x
• 14

Derivative means the same thing as

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

What is the derivative of xⁿ?

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

Find the slope of f(x) = −3x² − 6x at x = 1.

• m = 0

• f'(x) = −6x − 6

• f'(x) = 6x

• m = −12

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.6

Given y = -3sinx, y' =

• ⅓cosx
• 3cosx
• -3cosx
• -⅓cosx

Tags

CCSS.HSF-IF.C.7E

Given y = ⅓cosx, y' =

• ⅓sinx
• -⅓sinx
• -3sinx
• 3cosx

Tags

CCSS.HSF-IF.C.7E

Given f(x) = 3e^x + cosx, f '(x) = 

• 3e^x − sinx
• -3e^x + cosx
• ⅓e^x − sinx
• 3e^x + sinx

Find the derivative of the given equation
f(x) = 1 - x²

• 1 - 2x
• -2x
• -2
• -1

At which point(s) will the slopes of the tangent line are zero?

• 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