Limit and Differentiation

Differentiate f(x) = x³.

• x^4
• 3x^3
• 3x^2
• 6x

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 f(x) = 2x²+3.

• 4x
• 4x²
• 3
• 4x+3

find y' for y=(e^5x)+1

• 5e^5x+1

• e^5x

• 5e^5x

• 1

find y' for y= (2x+1)¹⁰

• 10(2x+1)⁹

• 20(2x-1)⁹

• 20(2x+1)¹⁰

• 20(2x+1)⁹

find y' for y= sin(2x²)

• 4sin(2x²)

• 4xcos(2x²)

• 2xcos(2x²)

• xcos(4x²)

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

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

From the function above, determine

 $\lim_{x\rightarrow0^-}f\left(x\right)$  .

• 0

• -1

• 1

• 2

What is the limit?

• DNE
• Infinity
• 6
• 12

What is the limit?

• Infinity
• 20
• DNE
• 12