Basic Differentiation

d/dx[ 3∕x⁴ ]

• −12x ^-5
• 12x ^-5
• −12x ^-3
• 12x ^-3

If y = 1/2 x² , find y'

• y' = 1/2 x³
• y' = x³
• y' = 1/2 x
• y' = x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

If f(x) = cos x, find f'(x).

• f ' (x) = -cos x
• f ' (x) = sin x
• f ' (x) = -sin x
• f ' (x) = cos x

Tags

CCSS.HSF.IF.A.1

Find the derivative of y = -sin x.

• y ' = -cos x
• y ' = cos x
• y ' = csc x
• y' = -csc x

Derive 
y = (x³ + 2x) / 2

• [2(3x² + 2) - 2(x³ + 2x)] / 4
• 3/2 x² + 1
• [0(x³ + 2x) - 2(3x² + 2)] / 4
• 3/2 x² + x

d/dx [6xe^x]

• 12e^x
• 6e^x
• 6xe^x + 6e^x
• 12xe^x