3D Derivative Rules Part 1

What is the derivative of a constant, C?

• C
• 1
• 0

What is the derivative of ax?

• a
• x
• 1
• 0

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

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

The three situations where derivatives fail to exist are at corners or cusps, at a vertical tangent, and...

• horizontial tangent
• discontinuity
• curve
• intercepts

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

• 4
• x
• -4
• 0

Derive                y=3x²-4x+2

• 6x-6
• 6x-2
• 4-6x
• 6x-4

Tags

CCSS.HSF-LE.A.1B

Find the value of the derivative at the indicated x-value.

• -4
• 3
• 0
• 24

Tags

CCSS.HSF.IF.A.2

Find the value of the derivative at the indicated x-value.

• 4
• 7
• 2
• -1

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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

• 1/2x
• -2x
• 2x
• -2x^-3

Tags

CCSS.HSA.APR.D.7

Is the above function differentiable for all values of x? Why?

• Yes, the slope of the tangent line can be calculated for all values of x.

• Yes, the function is continuous for all values of x so the function is differentiable.

• No, the function has a sharp turn in the first quadrant so if is not differentiable.

• No, the function is discontinuous so it is not differentiable.

Tags

CCSS.HSA.REI.D.10