Product and Quotient Rule

Given that y = (x+2)/(x-3), find y'.

• y' = -1/(x-3)²
• y' = -5/(x-3)²
• y' = (2x-5)/(x-3)²
• y' = (2x-1)/(x-3)²

What is the product rule for the derivative of f = u⋅v?

• f' = u'v + uv'
• f' = uv' - vu'
• f' = u'u + v'v
• f' = v'u' - vu

What is the quotient rule for the derivative of f = u/v?

• f' = (vu' - uv')/v²
• f' = (uv' - vu')/v²
• f' = (vu' - uv')/u²
• f' = (uv' - vu')/u²

Find f'(x) if       
f(x)=(2x-7)/(x+3) 

• 2
• 13/(x+3)²
• -4/(x+3)²
• -13/(x+3)

Find f''(1) if
f(x)=(x²-2x-1)/(3x)

• -2/3
• 2/3
• 4/3
• -4/3

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

Derivative means the same thing as

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

Which one is the product rule?

• f(x)g(x)
• f'(x)g(x)-f(x)g'(x)
• f'(x)g(x)+f(x)g'(x)
• f'(x)g'(x)+f'(x)g'(x)

Find the derivative of y = 2x² (3x - 4)

• 6x³ - 8x²
• 18x² - 16x
• 15x² - 6x
• 6x - 4

• 12x⁴ +3x²
• 20x⁴ +3x² +16
• 3x⁵ +32x³ +6x² +8x
• 24x³