Basic Calculus

Find the derivative of f(x) = 8.

• 8x

• 0

• 8

• -1

Which of the following functions is NOT continuous?

• f(x) = (x + 4)²

• f(x) = mx + b

• f(x) = x² − 4x − 2

• f(x) = 1012

Which of the following is NOT differentiable?

• f(x) = (x + 1)³

• f(x) = |x|

• f(x) = 2x + 3

• f(x) = 354

Find the derivative of f(x) = 7x⁴.

• f′(x) = 7x³ + 4

• f′(x) = 21x³

• f′(x) = 28x¹²

• f′(x) = 28x³

Find the derivative of f(x) = 2x³ − x² + 5x.

• f′(x) = 6x² − 2x + 5

• f′(x) = 2x³ − 2x

• f′(x) = 6x³ − 2x + 5

• f′(x) = 6x² − 2x

Differentiate: y = (4x - 10)⁴

• y' = 16(4x - 10)²

• y' = 16(4x - 10)²

• y' = 16(4x - 10)³

• y' = 16(4x + 10)³

Differentiate: f(x) = (3x² - 2x + 1)⁶

• f'(x) = (36x - 12)(3x² - 2x + 1)⁵

• f'(x) = (36x - 12) (3x² + 2x - 1)⁴

• f'(x) = (36x - 12)(3x³ - 2x + 1)⁵

• f'(x) = (36x - 12)(3x² - 2x - 1)⁴

Diffrentiate: y = x(x² +3)²

• y' = 5x⁴ + 18x² + 9

• y' = 5x⁴ - 18x² + 9

• y' = 5x⁴ + 18x² - 9

• y' = 5x² + 18x⁴ + 9

Differentiate: f(x) = 4sin (2x - 7)

• f'(x) = 7cos (2x - 8)

• f'(x) = 8cos (2x + 7)

• f'(x) = 7cos (2x + 8)

• f'(x) = 8cos (2x - 7)

Differentiate: y = tan (x² + 3x)

• y' = (2x + 3)csc² (x³+3x)

• y' = (2x + 3)sec² (x³+3x)

• y' = (2x + 3)cot² (x³+3x)

• y' = (2x + 3)sin² (x³+3x)