Differentiate y = (2x - 1)^4 and evaluate dy/dx at x = 1.

Answer and explanation

Correct answer: A. 8

  1. Step 1: Apply the chain rule: dy/dx = 4 x 2 x (2x - 1)^3.
  2. Step 2: At x = 1 the inner expression equals 1.
  3. Step 3: dy/dx = 4 x 2 x 1^3 = 8.
Answer
8.
Why not the others: '4' omits the inner derivative 2 from the chain rule; '1' evaluates y instead of dy/dx; '2' forgets to bring down the exponent 4.

Practise more Algebra, Functions, Geometry and Probability.

Free questions with an explanation for every one, and full timed Državna Matura (Bosnia & Herzegovina) mock tests.

All Algebra, Functions, Geometry and Probability questionsTake a mock test

More Algebra, Functions, Geometry and Probability questions