Question

derivative of sec 5x

Answer 1

that's the same as asking for the derivative of cos^-1(5x) apply chain rule

Answer 2

@Kenshin be careful. That notation is inverse cosine and not secant

Answer 3

could it also be sec5xtan5x using the derivative of sec x being secxtanx?

Answer 4

you're very close

Answer 5

you have to use the chain rule

Answer 6

you're right jim_thompson5910, i should have written (cos(5x))^-1

Answer 7

oh so multiply by 5 making it 5sec5xtan5x?

Answer 8

yep, if \(\Large y = \sec(5x)\) then \(\Large \frac{dy}{dx} = 5\sec(5x)\tan(5x)\)

Answer 9

okay thank you!

Answer 10

no problem