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Popular Functions >

inflection f(x)=(7-2x)e^x

Solution

inflection points

f (x) = (7 - 2 x) e^{x}

Solution

(\frac{3}{2}, 4 e^{\frac{3}{2}})

Solution steps

f^{''} (x) = e^{x} (- 2 x + 3)

Find intervals:

Concave Upward

: - \infty < x < \frac{3}{2},

Concave Downward

: \frac{3}{2} < x < \infty

Plug

x = \frac{3}{2}

into

(7 - 2 x) e^{x} : 4 e^{\frac{3}{2}}

(\frac{3}{2}, 4 e^{\frac{3}{2}})

Graph

Popular Examples

periodicity of f(x)=-5cos(4x)

inverse of f(x)=3^x-2

domain of f(x)= 7/(3+e^x)

domain of f(y)=2x+b

extreme x^3-4x^2-16x+9

Frequently Asked Questions (FAQ)

What is the inflection f(x)=(7-2x)e^x ?
The inflection f(x)=(7-2x)e^x is (3/2 ,4e^{3/2})