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

dilation scale factor 2: starting with δabc, draw the dilation image of the triangle with a center at the origin and a scale factor of two. notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). dilation with scale factor 2, multiply by 2.

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c