Question

the inteeval in which the function x^2.e^_x is increasing​

Answer 1

Answer:

(0,2)

Step-by-step explanation:

Given,

differentiate y with respect to x,

for increasing, dy/dx > 0

e.g., > 0

as you know, e^-x is an exponential function, we know exponential function is always positive for all real numbers .

so, remove it from inequality, then x(2-x) > 0

e.g., 0 < x < 2

therefore, f is increasing in (0, 2)

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