Derivative Quiz

What is the derivative of a constant, C?

• C
• 1
• 0
• Undifined

What is the derivative of xⁿ?

• (n-1)xⁿ
• nxⁿ⁺¹
• (n-1)x^n-1
• nx^n-1

What is the derivative of e^x?

• xe^x-1
• x^e
• e^x
• e^x-1

Use the quotient rule to determine the derivative.

• 8x⁴ -60x²
• 16x⁴
• (8x⁴ -60x²)/(2x²-5)²
• 3x

Use the product rule to determine the derivative.

• 4x⁸+60x⁶+12x³
• 12x⁷+36x²
• 32x⁷+36x²
• 20x⁶

Tags

CCSS.HSA.APR.A.1

Find h'(3)

• -2
• 0
• 1
• 3

Tags

CCSS.HSF.IF.A.2

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

• 1/2
• -1/2
• 0
• 3/2

Differentiate f(x) = 5x⁷.

• 35x^6
• 210x^5
• 5x^6
• 1050x^4

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

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