NIMCET 2020 Question Paper with solutions

Question : 24 of 120

Marks: +1, -0

Find the interval(s) on which the graph

y=2x^3e^x

is increasing :

Solution:

f(x)=2x^3e^x

f'(X)=e^x(2x^3+6x^2)

=e^x2x^2(x+3)

f'(X)>0

e^xx^2(x+3)

x∊(-3,0)∪(0,∞)

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