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Consider the function f(x)=|x^2|+|x^5|,x...

Consider the function `f(x)=|x^2|+|x^5|,x in R` . Statement 1: `f'(4)=0` Statement 2: `f` is continuous in `[2, 5]`, differentiable in `(2, 5) and f(2) = f(5)`. (1) Statement 1 is false, statement 2 is true (2) Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1 (3) Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1 (4) Statement 1 is true, statement 2 is false

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