Basic Derivative Rules (Including Trig)

Find f'(x) if

f(x) = 7

• f'(x) = 7

• f'(x) = 0

• f'(x) = 7x

• f'(x) = 14

Find dy/dx if

y = -4x

• dy/dx = 4

• dy/dx = x

• dy/dx = -4

• dy/dx = 0

Find the derivative of the given equation

f(x) = 1/x²

• f'(x) = 1/2x

• f'(x) = -2x

• f'(x) = 2x

• f'(x) = -2/x³

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

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

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

• m = 0
• f'(x) = -6x - 6
• f'(x) = 6x
• m = -12

Find the equation of the tangent line of

y = ∛x at (-1, -1)

• y+1=3(x+1)

• y+1=⅓(x+1)

• y-1=3(x+1)

• y=3x-1

Tags

CCSS.HSA.CED.A.2

CCSS.HSG.GPE.B.5

What is the derivative of y = 2π?

• 0

• 2

• -2

• None of the above

Find the second derivative of the function:
f (x) =  2x - 5x⁶

• f ''(x)= 2 - 30x
• f ''(x) =  2-30x⁵
• f ''(x) = -30x⁵
• f ''(x) = -150x⁴

What is the derivative of sin(x)?

• sin(x)
• cos(x)
• -sin(x)
• -cos(x)

Set up the derivative of

y=(3x⁴ - 7)(5x² + 1)

• y' = (12x³)(10x)

• y' = (3x⁴ - 7)(10x) + (12x³)(5x² + 1)

• y' = (3x⁴ - 7)(10x) - (12x³)(5x² + 1)

• y' = (3x⁴ - 7)/(10x) + (12x³)/(5x² + 1)