Differentiating exponential functions in exercise, find the derivative of the function. see example 2 and 3.
f(x) = 2/(e^x + e^-x)3

f'(x) =

Step-by-step explanation:

Data provided in the question:

f(x) =

or

we can also write the above equation as:

f(x) = 2 × (eˣ + e⁻ˣ)⁻³

Now,

on differentiating the above equation with respect to 'x', we get

f'(x) = 2 × (-3) × (eˣ + e⁻ˣ)⁻⁴ × (eˣ + (-1)e⁻ˣ)

or

f'(x) =

Note: derivative of eˣ = eˣ

derivative of xⁿ = xⁿ⁻¹

6 meters

step-by-step explanation: