Basic 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

Tags

CCSS.HSA.APR.A.1

Find y' if y=e⁴

• 0
• 1
• e³
• 4e³

Find y' if y=e^3x

• e^3x
• e^2x
• 0
• 3e^3x

Tags

CCSS.HSF.BF.B.5

If q(x)=(3x-5)⁴, what is q'(x)?

• 4(3x-5)⋅3
• 4(3x-5)³⋅3
• 4(3x-5)
• 4(3x-5)³⋅

Derivative means the same thing as

• slope of the tangent line
• slope of the normal line
• exponent
• potato

If a function has a derivative that is negative, what does that tell you?

• The function is increasing
• The function is decreasing