Questions from General Calculus

Q: Differentiate the function. y = 3ex + 4/3

Differentiate the function. y = 3ex + 4/3√x

Q: Differentiate the function. y = √x (x -

Differentiate the function. y = √x (x - 1)

Q: Differentiate the function. F (x) = (1

Differentiate the function. F (x) = (1/2x)5

Q: Differentiate the function. F (x) = 3/

Differentiate the function. F (x) = 3/4x8

Q: Find the nth derivative of each function by calculating the first few

Find the nth derivative of each function by calculating the first few derivatives and observing the pattern that occurs. (a). f (x) = xn (b). f (x) = 1/x

Q: Differentiate the function. f (x) = x3 –

Differentiate the function. f (x) = x3 – 4x + 6

Q: Differentiate the function. f (t) = 1/

Differentiate the function. f (t) = 1/2t6 – 3t4 + t

Q: Differentiate the function. f (t) = 1/

Differentiate the function. f (t) = 1/4 (t4 + 8)

Q: Find the derivative of f (x) = (1 +

Find the derivative of f (x) = (1 + 2x2) (x – x2) in two ways: by using the Product Rule and by performing the multiplication first. Do your answers agree?

Q: A particle moves according to a law of motion s = f

A particle moves according to a law of motion s = f (t), t > 0, where is measured in seconds and in feet. (a). Find the velocity at time t. (b). What is the velocity after 3 s? (c). When is the partic...