Basics on Derivatives

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

• f'(x)
• y'
• dy
• dy/dx

Find f'(x) if f(x)=x²

• 2x
• x²
• 2
• 2x²

Find g'(x) if g(x)=4x³

• 12x³
• 4x²
• 3x⁴
• 12x²

How do you find horizontal tangent lines?

• Find where the derivative is undefined
• Find where the derivative equals zero
• Find where the derivative is 1
• Find where the derivative is negative

Find h'(t) if h(t)=5x³-2x

• 3x²
• 15x²-2
• 15x²
• 15x²-2x

Find y' if y=e⁴

• 0
• 1
• e³
• 4e³

Find y' if y=e^3x

• e^3x
• e^2x
• 0
• 3e^3x

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

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