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At x=0, which of the following is true of the function f defined by f(x)=x^2+e^-2x?

At x=0, which of the following is true of the function f defined by f(x)=x^2+e^-2x?a) f is increasingb) f is decreasingc) f is discontinuousd) f has a relative minimume) f has a relative maximumNeed help can someone show the work so I can understand.

2 Answers

J
Jakob Littel

Feb 20, 2025

f(x)=x^2+e^-2xf'(x)=2x+(e^(-2x))*-2when x=0, f'(x)=-2.B) f(x) is decreasing at x=0 because f'(x) is negative.... Show More

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