Product and Quotient Differentiation

What is the derivative of f(x) = 2x³ - 4x + 5?

• f'(x) = 6x² - 4x

• f'(x) = 2/3x² - 4x

• f'(x) = 3x² - 4

• f'(x) = 6x² - 4

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.2

Which function has the derivative of g'(x) = 4x³ + 2x - 1

• g(x) = 2x⁴ + 2x² - 1

• g(x) = x⁴ + x² - x

• g(x) = 2x³ + x³ - 2x

• g(x) = x⁵ + x² - x

Tags

CCSS.HSA.APR.A.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.APR.B.3

CCSS.HSA.REI.D.10

Let y = (x - 1)(x + 2). Find dy/dx.

• 2x + 1

• 2x - 1

• 4x - 1

• 2x² + x - 1

Tags

CCSS.HSA.APR.A.1

Let f(x) = (x - 1)(x + 2). Find f'(0)

• 0

• 1

• 2

• 3

Tags

CCSS.HSF.IF.A.2

At what point will the slope of y = -x² + 4 is zero?

• (0, 4)

• (1, 4)

• (4, 0)

• (1, 0)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

What is the equation of the line tangent to the curve y = x² at x = 1?

• y = 2x + 1

• y = 2x - 1

• y = -2x + 1

• y = x - 1

Tags

CCSS.HSA.REI.C.7

CCSS.HSG.GPE.B.5

What is the derivative of f?

• 1/(x - 1)^-1

• -1/(x - 1)^-2

• -1/(x - 1)

• -1/(x - 1)²

Tags

CCSS.HSA.APR.D.7

What is the equation of the line tangent to the curve y = -x² + 3 at (1, 2)?

• y = 2x - 4

• y = -2x - 4

• y = -2x + 4

• y = 2x + 4

Tags

CCSS.HSA.REI.C.7

CCSS.HSG.GPE.B.5

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

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