HPCCC Derivatives - Power Rule

Find the derivative of the given equation

f(x) = x⁴ + 4x³ - 2x²

• f'(x) = x³ + x² - x

• f'(x) = 4x³ + 12x² + 4x

• f'(x) = 4x + 12x - 4x

• f'(x) = 4x³ + 12x² - 4x

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

Find the derivative of the given equation

g(x) = 1 - x²

• g'(x) = 1 - 2x

• g'(x) = -2x

• g'(x) = -2

• g'(x) = -1

The derivative of a constant is always...

• 1

• Not 0

• 0

• The coefficient in front of x

Differentiate h(x) = 3x^5/3 - 6x^1/6 + 3x

• h'(x) = 5x^2/3 - x^-5/6 + 3

• h'(x) = 3x^2/3 - 6x + 3

• h'(x) = 5x^4/3 - 6x + 3

• h'(x) = 3x^4/3 - x^-5/6 + 3

Tags

CCSS.HSN.RN.A.1

What is the slope of the tangent line to y = 4x⁴ - 7x³ + 0.5x² - 9 at x=1?

• 16x³ - 21x² + x

• 6

• 16x³ - 21x² + 0.5x - 9

• -4

Tags

CCSS.HSF.IF.B.6

Find the fully simplified Derivative of y = 4x² + 3x + 6x^-2

• y' = 8x + 3 -12x^-3

What is the equation of the line tangent to f(x)= 4x²+2x-1 at x=0?

• y+1=2(x+1)

• y=2x-1

• y=2x+2

• y= -x-1

Tags

CCSS.HSG.GPE.B.5

When we "take the derivative" of a function what are we finding?

• What's a derivative?
• The rate at which our struggles in Calculus are increasing.
• The slope of the secant line
• The slope of the tangent line