Question

derivada de (3x²+2)³

Answer 1

((3x² + 2)³)'

= 3(3x² + 2)^(3 - 1) × (3x² + 2)'

= 3(3x² + 2)² × 2 × 3x^(2 - 1)

= 3(3x² + 2)² × 6x

= 18x(3x² + 2)²

Rules applied:

• Chain Rule

Further explanation:

Given to functions f(x) and g(x),

(f • g)’ = [f(g(x))]’ = f’(g(x)) × g’(x).

(Here, the • symbol is the composition of functions operator.)

• Power Rule

Further explanation:

Given a function f(x) = x^n,

f’(x) = n × x^(n - 1).

Enjoy your studies ma dear.