Question

Differentiating Exponential functions In Exercise,find the derivative of the function. See Example 2 and 3.

y = e5x

Answer 1

5e⁵ˣ

Explanation:

Use the implicit differentiation method

let 5x = a

da/dx = 5, da=5dx

y=eᵃ, dy/da=eᵃ

dy/dx=dy/da . da/dx

hence, dy/dx = 5e⁵ˣ