Question

I need help I dont understand the question.... see attachment

Answer 1

@mathslover cna you help me please I am in the middle of the problem adn I am stuck

Answer 2

can you help me

Answer 3

You just need to find the derivative of (cos(6x))^(1/2). Do you know the chain rule?

Answer 4

no that is where I am stuck

Answer 5

Okay, well the chain rule is a method used to take the derivative of a whole quantity at one time. In this case, our quantity is cos(6x), which is enclosed by ()^(1/2). The derivative of this would look like:

(1/2)(cos(6x))^(-1/2) * (-6sin(6x))

I got this using two steps. First, I placed the exponent value in front of the quantity and multiplied, subtracted 1 from the exponent to get ^(-1/2), and left cos(6x) as is. Then I multiplied all of that by the derivative of the inside, cos(6x), which is -6sin(6x). Technically this works on simple functions like 2x^2 as well (try it for that, you will get the same result as when you use the shortcut or limit definition). Does that all make sense?

Answer 6

yup make sense