AP Calculus ABhardmcq1 pt

Find d/dx [arctan(3x)].

A.3/(1 + 9x²)
B.3/(1 + 3x²)
C.1/(1 + 9x²)
D.1/(1 + 3x²)

Explanation

Core Concept

Correct. Using d/dx[arctan(u)] = (1/(1 + u²)) · du/dx with u = 3x, du/dx = 3: the result is 3/(1 + 9x²).

Correct Answer

A3/(1 + 9x²)

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