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Popular Functions >

extreme f(x)=-6x+e^x

Solution

extreme

Solution

Minimum (ln (6), - 6 ln (6) + 6)

Solution steps

f^{'} (x) = - 6 + e^{x}

Find intervals:

Decreasing

: - \infty < x < ln (6),

Increasing

: ln (6) < x < \infty

Plug

x = ln (6)

into

- 6 x + e^{x} : - 6 ln (6) + 6

Minimum (ln (6), - 6 ln (6) + 6)

Graph

Popular Examples

extreme f(x,y)=x^2+y^2-2y

extreme f(x)=x^4+x^3

extreme f(x)=x^4+x^2

extreme f(x)=3x^2-2x+4

extreme f(x)=380x^2-3800x^3

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-6x+e^x ?
The extreme f(x)=-6x+e^x is Minimum(ln(6),-6ln(6)+6)