To differentiate the function 𝑦=2⋅ln(𝑥)5, we will use the chain rule and the properties of logarithms. Here are the steps:

1. Rewrite the function using the properties of logarithms: 𝑦=2⋅5⋅ln(𝑥) = 10⋅ln(𝑥).
2. Differentiate using the chain rule: dy/dx = 10 * (1/x) = 10/x.

So, the derivative of 𝑦=2⋅ln(𝑥)5 is dy/dx = 10/x.

Question

To differentiate the function 𝑦=2⋅ln(𝑥)5, we will use the chain rule and the properties of logarithms. Here are the steps:

1. Rewrite the function using the properties of logarithms: 𝑦=2⋅5⋅ln(𝑥) = 10⋅ln(𝑥).
2. Differentiate using the chain rule: dy/dx = 10 * (1/x) = 10/x.

So, the derivative of 𝑦=2⋅ln(𝑥)5 is dy/dx = 10/x.

Knowee AI · Accepted Answer

To differentiate the function 𝑦=2⋅ln(𝑥)5, we will use the chain rule and the properties of logarithms. Here are the steps:

1. Rewrite the function using the properties of logarithms: 𝑦=2⋅5⋅ln(𝑥) = 10⋅ln(𝑥).
2. Differentiate using the chain rule: dy/dx = 10 * (1/x) = 10/x.

So, the derivative of 𝑦=2⋅ln(𝑥)5 is dy/dx = 10/x.

Differentiate 𝑦=2⋅ln(𝑥)5.