Question

What is the relationship between y = ln(ƒ(x)) and the derivative of f(x) with respect to x?

a) y = ln(ƒ(x)) → ᶠ′⁽ˣ⁾∕₍ₓ₎ = ᵈʸ∕ₓ
b) y = ln(ƒ(x)) → ᵈʸ∕ₓ = f′(x)
c) y = ln(ƒ(x)) → ᶠ′⁽ˣ⁾∕₍ₓ₎ = f′(x)
d) y = ln(ƒ(x)) → ᶠ′⁽ˣ⁾∕₍ₓ₎ = ᵈʸ∕ₓ

Answer 1

The derivative of ln(ƒ(x)) with respect to x is equal to the derivative of f(x) with respect to x.

Step-by-step explanation:

The relationship between y = ln(ƒ(x)) and the derivative of f(x) with respect to x is given by the following equation:

ᵈʸ∕ₓ = ᶠ′⁽ˣ⁾∕₍ₓ₎

In other words, the derivative of y = ln(ƒ(x)) with respect to x is equal to the derivative of f(x) with respect to x.