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Popular >

extreme e^{x^2+3*x+4}

Solution

extreme points

e^{x^{2} + 3 \cdot x + 4}

Solution

Minimum (- \frac{3}{2}, e^{\frac{7}{4}})

Solution steps

f^{'} (x) = e^{x^{2} + 3 x + 4} (2 x + 3)

Find intervals:

Decreasing

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

Increasing

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

Plug

x = - \frac{3}{2}

into

e^{x^{2} + 3 \cdot x + 4} : e^{\frac{7}{4}}

Minimum (- \frac{3}{2}, e^{\frac{7}{4}})

Popular Examples

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f (x) = x^{4} + 3 x^{3} - 9 x^{2} - 23 x - 12

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f (x) = x^{3} - 4 x^{2} - 3 x^{2} + 6

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extreme-8x^3+24x+9 extreme points

- 8 x^{3} + 24 x + 9

Frequently Asked Questions (FAQ)

What is the extreme e^{x^2+3*x+4} ?
The extreme e^{x^2+3*x+4} is Minimum(-3/2 ,e^{7/4})