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Popular >

f(x)=e^x-x

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 1

Y Intercepts : (0, 1)

Asymptotes : Slant y = - x

Extreme Points : Minimum (0, 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [1, \infty)

Solution steps

Domain of

e^{x} - x : - \infty < x < \infty

Range of

e^{x} - x : f (x) \geq 1

Axis interception points of

e^{x} - x :

Y Intercepts

: (0, 1)

Asymptotes of

e^{x} - x :

Slant

: y = - x

Extreme Points of

e^{x} - x :

Minimum

(0, 1)

Popular Examples

integral of (cos(x/3))/(sin^4(x/3))

\int \frac{cos ( \frac{x}{3} )}{sin ^{4} ( \frac{x}{3} )} d x

integral of e^{7x}cos(3x)

\int e^{7 x} cos (3 x) d x

integral of (sin(x))^{1/2}cos(x)

\int (sin (x))^{\frac{1}{2}} cos (x) d x

1/4 y^{''}+y^'+y=x^2-4x

\frac{1}{4} y^{^{''}} + y^{^{'}} + y = x^{2} - 4 x

y \cdot y^{^{'}} + 36 x = 0

Frequently Asked Questions (FAQ)

What is the f(x)=e^x-x ?
The f(x)=e^x-x is