Absolute Maximum from First Derivative
Let $$f$$ be the function with first derivative defined by $$f'(x) = \sin(x^3)$$ for $$0 \leq x \leq 2$$. At what value of $$x$$ does $$f$$ attain its maximum value on the closed interval $$0 \leq x \leq 2$$?
A
$$1.465$$
B
$$1.162$$
C
$$0$$
D
$$1.845$$
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