Differentiating f(x) = (2x + 1)^3 with the chain rule gives:
A2(2x + 1)^3
B6(2x + 1)^3
C6(2x + 1)^2
D3(2x + 1)^2
Answer & Solution
Correct answer: C. 6(2x + 1)^2
1. Differentiate the outside power first.
2. Then multiply by the inside derivative, 2.
3. It is 6(2x + 1)^2.
_Source: OpenStax Calculus Volume 1, Chapter 3, Derivatives._
Keep practising Unit 3A: Chain Rule and Composite Functions
Browse all Unit 3A: Chain Rule and Composite Functions questions for AP Calculus AB, or explore more Mathematics topics.
Related questions
In which quadrant is sin θ positive and cos θ negative?If tan θ + cot θ = 2, find sin 2θ:General solution of sin θ = sin α:In triangle with sides 7, 8, 9, find cos of the angle opposite to side 9 (use cosine rule)If sin θ = 12/13 (acute), find tan(θ/2):General solution of cos θ = 0:If sin θ + cos θ = 1, then sin θ × cos θ equals:In triangle ABC with sides a, b, c opposite to angles A, B, C: sine rule states: