Let , and let denote the th derivative of at . What is the value of…

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

Let f(x)=arctan⁡(2x)f(x)=\arctan(2x), and let f(n)(0)f^{(n)}(0) denote the nnth derivative of ff at x=0x=0. What is the value of f(4)(0)f^{(4)}(0)? (a) 4848 (b) 00 (c) −48-48 (d) 88

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