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exp

Syntax

Description

example

Y = exp(X) returns the exponential ex for each element in array X. For complex elements z = x + iy, it returns the complex exponential

ez=ex(cosy+isiny).

Use expm to compute a matrix exponential.

Examples

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Numeric Representation of e

Calculate the exponential of 1, which is Euler's number, e.

exp(1)
ans =

    2.7183

Euler's Identity

Euler's identity is the equality $e^{i \pi} +1=0$.

Compute the value of $e^{i \pi}$.

Y = exp(1i*pi)
Y =

  -1.0000 + 0.0000i

Plot Exponential Function

Plot $y=e^{x/2}$ for x values in the range $[-2,10]$.

X = -2:0.5:10;
Y = exp(X/2);
plot(X,Y)

Input Arguments

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X — Input arrayscalar | vector | matrix | multidimensional array

Input array, specified as a scalar, vector, matrix, or multidimensional array.

Data Types: single | double
Complex Number Support: Yes

Output Arguments

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Y — Exponential valuesscalar | vector | matrix | multidimensional array

Exponential values, returned as a scalar, vector, matrix, or multidimensional array.

For real values of X in the interval (-Inf, Inf), Y is in the interval (0,Inf). For complex values of X, Y is complex. The data type of Y is the same as that of X.

See Also

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Introduced before R2006a

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