Derivatives Practice

Find the derivative of f(x) = 5x² + 7x - 3.

• 2x + 7
• 10x + 7
• 10x + 4
• 2x + 4

• 4x⁹ + 6x⁷
• (2/5)x⁹ + (3/4)x⁷
• 20x⁹ + 24x⁷
• x⁹ + x⁷

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

Differentiate y = -19

• -19
• 0
• 19
• Not differentiable

Differetiate y = -19x

• -19
• 0
• 19
• Not differentiable

• (1/2)x^-7
• (1/2)x^-9
• -32x^-9
• -32x^-7

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.APR.D.6

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Find the derivative:
y = (4x - 5)(2x + 3)

• 8
• 8x
• 16x
• 16x + 2

Tags

CCSS.HSA.APR.A.1

What is the derivative of sin(x)?

• sin(x)
• cos(x)
• -sin(x)
• -cos(x)

Find f '(2)  if
f(x) = x² + 2x

• 2x + 2
• 6
• 12
• 2x

Tags

CCSS.HSF.IF.A.2

Find the derivative of the given function
f(x) = x⁴ + 4x³ - 2x²

• x³ + x² - x
• 4x³ + 12x² + 4x
• 4x + 12x - 4x
• 4x³ + 12x² - 4x

Tags

CCSS.HSA.APR.A.1

Find dy/dx for 
y = (x² + 1)³

• dy/dx = 3(x² + 1)²
• dy/dx = 3(2x)²
• dy/dx = 3(x² + 1)²(2x)
• dy/dx = 2x(x² + 1)²