Let . Let denotes th derivative of w.r.t. , . If , , then equals to…

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

Problem

Let f(x)=xtan⁡−1(x2)+x4f(x) = x \tan^{-1}(x^2) + x^4 . Let fk(x)f^k(x) denotes kk th derivative of f(x)f(x) w.r.t. xx , k∈Nk \in \mathbb{N} . If f2m(0)≠0f^{2m}(0) \neq 0 , m∈Nm \in \mathbb{N} , then mm equals to .....

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