Find the Derivative.
f(x) = -xcos3x

Step-by-step explanation:

Use the Product Rule for derivatives, which states that:

In the function we are given, , we can break it up into two factors: -x is being multiplied by cos3x.

Now, we have the factors:

Before using the product rule, let's find the derivative of cos3x using the chain rule and the power rule.

Now let's apply the product rule to f(x) = -xcos3x.

Simplify this equation.

Multiply x and 3 together and remove the parentheses.

Therefore, this is the derivative of the function .

Hi there!

x^6

step-by-step explanation:

this is correct because:

x-6=0

0*x=0

so

x^6