Derivatives

Derivatives

Kalyani Joshi

Multiple Choice

Let f(x) = (x - 1)(x + 2). Find f'(0)

• 0

• 1

• 2

• 3

Multiple Choice

Let y = (x - 1)(x + 2). Find dy/dx.

• 2x + 1

• 2x - 1

• 4x - 1

• 2x² + x - 1

Multiple Choice

Choose the best rule to derive the function.

• Product rule

• Quotient rule

• Power rule

• Chain rule

Multiple Choice

Which function has the derivative of g'(x) = 4x³ + 2x - 1

• g(x) = 2x⁴ + 2x² - 1

• g(x) = x⁴ + x² - x

• g(x) = 2x³ + x³ - 2x

• g(x) = x⁵ + x² - x

Multiple Choice

What is the derivative of f(x) = 2x³ - 4x + 5?

• f'(x) = 6x² - 4x

• f'(x) = 2/3x² - 4x

• f'(x) = 3x² - 4

• f'(x) = 6x² - 4

Multiple Choice

What rule should be used in deriving h(x) = 2(x - 4)³

• Power rule

• Product rule

• Quotient rule

• Chain rule

Multiple Choice

What rule should be used in deriving f(x) = x⁵

• Constant rule

• Sum rule

• Power rule

• Difference rule

Multiple Choice

What is the derivative?

• A
• B
• C
• D

Multiple Choice

What is the derivative of xⁿ?

• (n-1)xⁿ
• nxⁿ⁺¹
• (n+1)x^n-1
• nx^n-1

Multiple Choice

find 

• y = 2 x^-1
• y=2 x^-2
• y= −2x^-2
• y= −2 x^-1

Multiple Choice

Find the derivative of the given equation
f(x) = x³ + x² + 3

• 3x² + 2x
• 3x + 2x 
• 3x + 2x + 3
• x³ + x² 

Multiple Choice

Find the derivative of the given equation
f(x) = 1 - x²

• 1 - 2x
• -2x
• -2
• -1

Multiple Choice

Find the derivative of the given equation
f(x) = -4x

• 4
• x
• -4
• 0

Multiple Choice

Find the derivative of the given equation

f(x) = 7

• 7

• 0

• 7x

• 14