Question

help! dy/dx for y=e^-2x ln5x
Also, can someone explain to me how these work? I've never understood these

Answer 1

e^(-2x) ln(5x) is the product of two functions, namely,
e^(-2x) and ln (5x).

So when you want the derivative of the product of two functions, you need the product rule.

Answer 2

If f(x) g(x) is the product of two functions, then its derivative is:

f(x) g ' (x) + g(x) f '(x).

Answer 3

So let's see how you take the derivative of e^(-2x) ln (5x).

Answer 4

(e^-2x)(1/5)+(ln5x)(e^-2x)?