Question

I need help finding the derivative of f(x)=26-(Sec^3(4x))

Answer 1

I know that the 26 goes away. But what do i do with the rest???

Answer 2

Use Chain Rule.

Answer 3

I know how to use it in other problems but idk how to se it up here

Answer 4

Outer function is the secant function, x is the inner function.

Answer 5

you mean 4x? I got \[12Sec^24x\]

Answer 6

It should be: \[-12\tan(4x)\sec^3(4x)\]

Answer 7

Do you know the derivative of sec(x)?

Answer 8

Sec(x)Tan(x) ohh, I see what you did. But why is the power 3? Isn't it suppoased to be one less?

Answer 9

Nope, do you see how you got secxtanx from secx? It doesn't decrease for certain trig functions.

Answer 10

oh, ok. Thank you