# tf.math.exp

Defined in generated file: `python/ops/gen_math_ops.py`

Computes exponential of x element-wise. \(y = e^x\).

### Aliases:

• `tf.compat.v1.exp`
• `tf.compat.v1.math.exp`
• `tf.compat.v2.exp`
• `tf.compat.v2.math.exp`
• `tf.exp`
``````tf.math.exp(
x,
name=None
)
``````

This function computes the exponential of every element in the input tensor. i.e. `exp(x)` or `e^(x)`, where `x` is the input tensor. `e` denotes Euler's number and is approximately equal to 2.718281. Output is positive for any real input.

``````  x = tf.constant(2.0)
tf.math.exp(x) ==> 7.389056

x = tf.constant([2.0, 8.0])
tf.math.exp(x) ==> array([7.389056, 2980.958], dtype=float32)
``````

For complex numbers, the exponential value is calculated as follows:

``````  e^(x+iy) = e^x * e^iy = e^x * (cos y + i sin y)
``````

Let's consider complex number 1+1j as an example. e^1 (cos 1 + i sin 1) = 2.7182818284590 (0.54030230586+0.8414709848j)

``````  x = tf.constant(1 + 1j)
tf.math.exp(x) ==> 1.4686939399158851+2.2873552871788423j
``````

#### Args:

• `x`: A `Tensor`. Must be one of the following types: `bfloat16`, `half`, `float32`, `float64`, `complex64`, `complex128`.
• `name`: A name for the operation (optional).

#### Returns:

A `Tensor`. Has the same type as `x`.