Questions from General Calculus

Q: Compute d/dx f (g (x)), where f

Compute d/dx f (g (x)), where f (x) and g (x) are: f (x) = (x3 + 1)2, g (x) = x2 + 5

Q: Solve the following equations for x 2x – 1/2x

Solve the following equations for x 2x – 1/2x = 0

Q: Solve the following equations for x 22x - 6*2x

Solve the following equations for x 22x - 6*2x + 8 = 0

Q: Solve the following equations for x 22x+2 - 17

Solve the following equations for x 22x+2 - 17*2x + 4 = 0

Q: Solve the following equations for x 32x – 12*3x

Solve the following equations for x 32x – 12*3x + 27 = 0

Q: Solve the following equations for x 22x – 4*2x

Solve the following equations for x 22x – 4*2x - 32 = 0

Q: Compute d/dx f (g (x)), where f

Compute d/dx f (g (x)), where f (x) and g (x) are: f (x) = x(x - 2)4, g (x) = x3

Q: Compute dy/dx using the chain rule in formula (1

Compute dy/dx using the chain rule in formula (1). State your answer in terms of x only. y = u3/2, u = 4x + 1 Chain Rule:

Q: Compute dy/dx using the chain rule in formula (1

Compute dy/dx using the chain rule in formula (1). State your answer in terms of x only. y = √(u + 1), u = 2x2 Chain Rule:

Q: Compute dy/dx using the chain rule in formula (1

Compute dy/dx using the chain rule in formula (1). State your answer in terms of x only. y = u/2 + 2/u , u = x - x2 Chain Rule: