Derivative Rules Test

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

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

Find the derivative of the given equation
f(x) = 7

• 7
• 0
• 7x
• 14

Find the derivative of y=5x⁴

• (5x³)/4
• 20x⁴
• 20x³
• x⁵

Tags

CCSS.HSF-IF.C.8B

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

The derivative of 

• y'=2x-x^-2
• y'=x^-1+8x
• y'=x^-2+8x
• y=8x-x^-2

Find the derivative f(x) = xe^x 

• f'(x) = e^x
• f'(x) = 2xe^x

• f'(x) = e^x (1 - x)

• f'(x) = e^x (1+x)

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

• 0

• 1

• 2

• 3

Tags

CCSS.HSF.IF.A.2

Calculate the derivative, if f(x) = -25xcos(x)

• f'(x)= -25(xsin(x) - cos(x))

• f'(x)= -25(xsin(x) +cos(x))

• f'(x)= 25(xsin(x) - cos(x))

• 25xsin(x)