DERIVATIVES

Find the derivative of f(x) = 6x³⁰ -2x¹⁵ + 4x³ - 2x + 1

• f'(x) = 18x²⁹ + 30x¹⁵ + 12x³ 
• f'(x) = 180x²⁹ - 30x¹⁴ + 12x² 
• f'(x) = 180x²⁹ - 30x¹⁴ + 12x² - 2
• f'(x) = 180x²⁹ - 30x¹⁴ + 12x² +1

Tags

CCSS.HSF.IF.A.2

If the position function for a particle is s(t) = -t² - t, what is the instantaneous velocity function for the particle?

• v(t) = -2

• v(t) -2t - 1

• v(t) = t³

• v(t) = -t

If the position of a particle is represented by s(t) = -t² + 1, what is its position at t = 1?

• Position = 0

• Position = 1

• Position = 2

• Position = -1

Tags

CCSS.6.EE.B.5

If the position of a particle is represented by s(t) = -t² + 1, what is its instantaneous velocity at t = 1?

• Velocity = 0

• Velocity = 1

• Velocity = -1

• Velocity = -2

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.1

Find the derivative. f(x) = -8x^-3 + 5x

• f'(x) = -24x^-4 + 5

• f'(x) = 24x^-4 + 5

• f'(x) = 24x^-2 + 5

• f'(x) = 24x^-4 - 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

Find the derivative of f(x)=(x³ - 2x²)(3x²+1)

• (3x²-4x)(6x)
• 3x²-4x+6x
• 15x⁴-24x³+ 3x²-4x
• 18x³-4x

Tags

CCSS.HSA.APR.A.1

s(t) = t² - 20

Find the AVERAGE velocity from t = 3 to t = 5.

• 2

• 4

• 6

• 8

Tags

CCSS.HSF.IF.B.6

CCSS.8.F.B.4

At which x-value is f continuous but not differentiable?

• a
• b
• c
• d

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Where is the graph not differentiable?

• x = -2, -1, 0, 1
• x = -2, -1, 1
• x = -2, -1
• x = -1, 

Tags

CCSS.HSA.REI.D.10