Big Derivative

Calculus Level 2

Evaluate the 25th derivative of x3sin(x2) at x=0.x^3\sin(x^2) \text{ at } x = 0.

Hint: Start with the Maclaurin series for sin(x)\sin(x) to obtain a series for sin(x2)\sin(x^2) and then for x3sin(x2).x^3 \sin(x^2).

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