Derivative Rules (Power, Product, Quotient, Chain)

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

• 7
• 0
• 7x
• 14

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

• 4
• x
• -4
• 0

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

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

Find the derivative of the given equation
f(x) =  $\frac{1}{x^2}$  Hint: rewrite with a negative exponent

• f'(x) = 1/2x

• f'(x) = -2x^-3

• f'(x) = 2x

• f'(x) = -2x

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.D.6

CCSS.HSF.IF.C.8

Use the product rule to find the derivative. $f\left(x\right)\ =\ -x^3\left(3x^4-2\right)$  

•  $-3x^2+12x^3$  

•  $-21x^3+6x$  

•  $-21x^6+6x^2$  

•  $-84x^6-6x^2$  

Tags

CCSS.HSA.APR.A.1

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

• 0

• 1

• 2

• 3

Tags

CCSS.HSF.IF.A.2

Determine the derivative using the product rule

• 4x²+8x+1

• 20x⁶+5x⁴

• 28x⁶+5x⁴-16x

Determine the derivative using the quotient rule

• 8x⁴ -60x²

• 16x⁴

• (8x⁴ -60x²)/(2x²-5)²

• 3x

Determine the derivative

• y = 2 x^-1

• y=2 x^-2

• y= −2x^-2

• y= −2 x^-1

Find the derivative of g(x)=(3x-2)/(x²+2)

• 9x²+2
• 3(x²+2)/(x²+2)²
• (-3x²+4x +6)/(x²+2)²
• (-3x²+10)/(x²+2)²