Business Calculus Test 1

Find the derivative of the given equation

 $f\left(x\right)=\frac{1}{x^2}$  

• 1/2x

• -2x

• 2x

• -2x^-3

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

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

Tags

CCSS.HSA.APR.A.1

Differentiate y= 12x^-2

• 24x^-1
• -24x^-3
• -24x^-1
• 6x^-3

FInd the derivative:

f(x) = (-2/3)x³ - (1/2)x² + 9x

• -2x² - x + 9

• -2x² + x + 9

• 2x² - x + 9

• 2x² - x - 9

Tags

CCSS.HSA.APR.A.1

Find the second derivative of the function:
f (x) =  2x - 5x⁶

• f ''(x)= 2 - 30x
• f ''(x) =  2-30x⁵
• f ''(x) = -30x⁵
• f ''(x) = -150x⁴

Tags

CCSS.HSA.APR.A.1

Set up the derivative of y=(3x⁴ - 7)*(5x² + 1)

• (12x³)*(10x)
• (3x⁴ - 7)*(10x) + (12x³)*(5x² + 1)
• (3x⁴ - 7)*(10x) - (12x³)*(5x² + 1)
• (3x⁴ - 7)/(10x) + (12x³)/(5x² + 1)

Tags

CCSS.HSA.APR.A.1

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

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

Tags

CCSS.HSA.APR.A.1

Differentiate 

 $f\left(x\right)=\frac{2}{x^5}-5$  

• x⁵-3

• -10x⁶

• x⁵-5

• -10x^-6

Costs that change based on the amount of goods and services produced.

• Total costs

• Fixed costs

• Variable costs

• Costs

Tags

CCSS.HSF-LE.A.1B

Find the value of the gradient at the point where x = -4

• -13

• 13

• 20

• -44

Tags

CCSS.8.EE.B.5