Differentiation Rules Part 1

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

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

Tags

CCSS.HSA.APR.A.1

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

• f'(x) = -24x^-4 + 5 - e^x
• f'(x) = 24x^-4 + 5 - e^x
• f'(x) = 24x^-2 + 5 - e^x
• f'(x) = 24x^-4 + 5 - e^x-1

Tags

CCSS.HSF.IF.A.2

What is the derivative of:

 $f\left(x\right)=3\sin\left(x\right)-4e^x$  

•  $-3\cos\left(x\right)+4e^x$  

•  $-3\cos\left(x\right)-4e^x$  

•  $3\cos\left(x\right)-4e^x$  

•  $3\cos\left(x\right)+4e^x$  

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

• 7
• 0
• 7x
• 14

Which if the following is not a correct notation for 'derivative?'

• f'(x)
• y'
• dy
• dy/dx

Find y' if y=e⁴

• 0

• 1

• e⁴

• 4e³

Find y' if y=e^3x

• e^3x
• e^2x
• 0
• 3e^3x

Tags

CCSS.HSF.BF.B.5