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SAAT (English)

Mathematics: sample 16

These questions are ETEC/Qiyas's own officially published trial-exam questions, shown here with attribution. They are not sold and are not part of Smart Advanced Network for Education, Development & Achievement's original question bank.
Directions

Read the following questions. Choose the right answer.

There is only ONE correct answer to each question.

If y = 3^(2x), then dy/dx =

  1. 3^(2x) × 2x × ln(3)
  2. 3^(2x) × 2x × 1/ln(3)
  3. 3^(2x) × ln(9)
  4. 3^(2x) × 1/ln(9)
Show answer

Correct answer: C. 3^(2x) × ln(9)

Why

For y = a^u, dy/dx = a^u · ln(a) · u'. Here u=2x, u'=2, a=3: dy/dx = 3^(2x) · ln(3) · 2 = 3^(2x) · ln(3²) = 3^(2x) · ln(9).

Source: The Standardized Academic Achievement Test (SAAT) for the Science Track Trial Test (ETEC official) Open the official document

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