Anonymous Student · guest

10 Sep 2026, 7:52 p.m.

110067 score

5 correct × 220 movement score = 1100

67 × VCE evidence60.3 seconds · bandwidth-limited recordingDownload video

01 At a stationary point of a differentiable function

A \(f\prime(x)=0\) The tangent gradient is zero.

B \(f(x)=1\) This does not satisfy the stated relationship.

C \(f(x)=0\) This does not satisfy the stated relationship.

D \(f\prime\prime(x)=0\) always This does not satisfy the stated relationship.

Written for icaijy.com · U1–2 · Differentiation · answered at 10692 ms

02 Which response best completes this VCE-style item? If \(f(x)=x^3\), then \(f\prime(x)=\)

A \(3x^2\) Apply the power rule.

B \(x^2\) This does not satisfy the stated relationship.

C \(3x\) This does not satisfy the stated relationship.

D \(x^4/4\) This does not satisfy the stated relationship.

Written for icaijy.com · U1–2 · Differentiation · answered at 15309 ms

03 During a one-minute revision round: For \(a>1\), \(y=a^x\) is

A undefined at x=0 This does not satisfy the stated relationship.

B strictly decreasing This does not satisfy the stated relationship.

C periodic This does not satisfy the stated relationship.

D strictly increasing An exponential with base greater than one increases.

Written for icaijy.com · U1–2 · Exponentials · answered at 28082 ms

04 The solution of \(|x|<3\) is

A \((-3,3)\) Distance from zero must be less than three.

B \([-3,3]\) This does not satisfy the stated relationship.

C \(({-\infty},-3)\cup(3,\infty)\) This does not satisfy the stated relationship.

D \(x>3\) This does not satisfy the stated relationship.

Written for icaijy.com · U1–2 · Algebra · answered at 31320 ms

05 A student is checking a worked solution. The period of \(\sin(2x)\) is

A \(\pi\) Period is 2π/2 = π.

B \(2\pi\) This does not satisfy the stated relationship.

C \(4\pi\) This does not satisfy the stated relationship.

D \(\pi/2\) This does not satisfy the stated relationship.

Written for icaijy.com · U1–2 · Trigonometry · answered at 39425 ms

06 A student is checking a worked solution. \(\log_a(xy)\) equals

A \(x+y\) This does not satisfy the stated relationship.

B \(\log_a x\log_a y\) This does not satisfy the stated relationship.

C \(\log_a x+\log_a y\) The logarithm of a product is a sum.

D \(\log_a(x+y)\) This does not satisfy the stated relationship.

Written for icaijy.com · U1–2 · Logarithms · answered at 44310 ms

07 Which response best completes this VCE-style item? If \(P(3)=0\), then a factor of \(P(x)\) is

A \(x+3\) This does not satisfy the stated relationship.

B \(x-3\) The factor theorem gives x−3.

C \(x^3\) This does not satisfy the stated relationship.

D \(3x-1\) This does not satisfy the stated relationship.

Written for icaijy.com · U1–2 · Polynomials · answered at 54300 ms