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Popular >

inflection f(x)=3(5-x)e^x

Solution

inflection points

f (x) = 3 (5 - x) e^{x}

Solution

(3, 6 e^{3})

Solution steps

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

Find intervals:

Concave Upward

: - \infty < x < 3,

Concave Downward

: 3 < x < \infty

Plug

x = 3

into

3 (5 - x) e^{x} : 6 e^{3}

(3, 6 e^{3})

Popular Examples

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

f (x) = 3 - 3 x^{3}

domain of f(x)=(x^3)/(sqrt(1-x))domain

f (x) = \frac{x ^{3}}{1 - x}

inverse of f(x)=4x-9 inverse

f (x) = 4 x - 9

intercepts of x^2-4x-21 intercepts

x^{2} - 4 x - 21

domain of (20-x)^{1/4}domain

(20 - x)^{\frac{1}{4}}

Frequently Asked Questions (FAQ)

What is the inflection f(x)=3(5-x)e^x ?
The inflection f(x)=3(5-x)e^x is (3,6e^3)