Question

a differentiable function f is defined on -7 < x <7 has f(0) = 0 and f'(x)=2x sinx-e^-x^2 + 1 (Note: the following questions refer to f, not to f')
a) Describe the symmetry of f
b)on what intervals is f decreasing?
c)for what values of x does f have a relative maximum? Justify your answer.
d)How many points of inflection does f have? Justify your answer.

Answer 1

\[f'(x)=2x sinx-e ^{-x ^{2}}+ 1\]

Answer 2

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