college math

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prove f(x)= x^15+6 is increasing on the interval: I= (-‡,‡)

  • college math -

    find the derivative:

    f'= 15x^14

    this function is always positive (graph if you don't believe me) because any number to an even power must be 0 or greater.

    thus since the derivative is always positive, the graph of f (x) is always increasing

    :P

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