Business Calculus Quiz 2

Find the derivative of the given equation

 $f\left(x\right)=\frac{1}{x^3}$  

•  $f\left(x\right)=\frac{1}{3x^2}$  

•  $-3x^{-2}$  

•  $3x^4$  
  

•  $f\left(x\right)=-\frac{3}{x^4}$  

Differentiate y = 8x^-2

• 16x^-1

• -16x^-3

• -16x^-1

• 16x^-3

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

• (12x³)*(10x)

• (3x⁴ - 7)*(10x) + (12x³)*(5x² + 1)

• (3x⁴ - 7)*(10x) - (12x³)*(5x² + 1)

• (3x⁴ - 7)/(10x) + (12x³)/(5x² + 1)

Find the derivative of y = 3x² (5x - 2)

• 15x³ - 6x²

• 45x² - 12x

• 45x² - 6x

• 15x - 12x

Differentiate 

 $f\left(x\right)=\frac{2}{x^5}-5$  

• x⁵ - 3

• -10x⁶

• x⁵ - 5

• -10x^{- 6}

Find the value of the gradient at the point where x = - 2, if g(x) = 3x² - 2x.

• -14

• 16

• 10

• - 8

Tags

CCSS.8.EE.B.5

Does this parabola have a minimum or maximum and what is its value?

• minimum: 2
• maximum: 2
• minimum: 5
• maximum: 5

What is the maximum or minimum point for the curve
 $y=x^2-4$  ?

• minimum at ( 0, -4)

• minimum at ( 0, 4)

• maximum at ( 0, -4)

• maximum at ( 0, 4)

Find the antiderivative of 8x - 5

• 8 + C

• 4x² - 5x + C

• x² - 5x + C

• 8x² - 5x + C

Find the antiderivative of

 $\frac{1}{3}x^3-5x$  

• (1/12)x⁴ - (5/2)x² + C

• (1/4)x⁴ - (1/2)x² + C

• (1/12)x³ - (5)x² + C

• (12)x⁴ - (5)x² + C