Using the power rule of logarithms to take the derivative of a natural log

The video tutorial explains how to handle constants when taking derivatives. It begins by rewriting expressions to simplify the process, then demonstrates how constants can be factored out of derivatives. The tutorial uses examples to illustrate these concepts, ultimately showing how to apply derivative rules to find the derivative of a logarithmic function.

What is the purpose of rewriting an expression before taking its derivative?

• To make the expression more complex

• To change the value of the expression

• To eliminate variables

• To simplify the process of differentiation

When taking the derivative of 2x^2, what happens to the constant 2?

• It is ignored

• It is divided by the derivative of x^2

• It is multiplied by the derivative of x^2

• It is added to the derivative of x^2

Why is it helpful to factor out constants when taking derivatives?

• It makes the derivative zero

• It simplifies the differentiation process

• It changes the function

• It increases the complexity

What is the derivative of ln(x) with respect to x?

• x^2

• ln(x)

• x

• 1/x

What is the final derivative of 2 * ln(x)?

• 2x

• 2/ln(x)

• 2/x

• ln(x)/2