PrepAce — Practice

MCQ Medium Q#001 · Unit 6

Integration

If f(x) = ∫₀ˣ (t² - 4t + 3) dt, at what value of x does f have a relative minimum?

A x = 1

B x = 2

C x = 3

D x = 4

MCQ Hard Q#002 · Unit 4

Applications of Derivatives

A particle moves along the x-axis with velocity v(t) = 3t² - 12t + 9 for t ≥ 0. At what time t does the particle change direction from moving left to moving right?

At = 1

Bt = 2

Ct = 3

Dt = 4

MCQ Easy Q#003 · Unit 2

Chain Rule

What is the derivative of f(x) = sin(x²)?

Acos(x²)

B2x·cos(x²)

C2x·sin(x²)

Dx²·cos(x²)