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First derivative of f(x) = (5x + 3)^3

1 Answer

5 votes

Answer:

f'(x) = 15(5x + 3)²

Explanation:

using the chain rule to differentiate

f(x) = g(h(x) , then

f'(x) = g'(x) × h'(x)

f(x) = (5x + 3)³

f'(x) = 3(5x + 3)² ×
(d)/(dx) (5x + 3)

= 3(5x + 3)² × 5

= 15(5x + 3)²

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