Question

find the derivative of:
f(x) = (sec x)(x^2 +1)

Answer 1

All you need to do is use the rules of integration.

So it is

(secx)'(x^2 + 1) + (x^2 +1)(secx)'

See if you can finish it off

Answer 2

Sorry. I don't understand your notation - are you telling me to use the product rule?

Answer 3

Sorry

Yes you want to use the product rule here

sec'(x) means the derivative of sec(x)

(x^2 +1)' means the derivative of x^2 +1



It may help to think of the problem like this

h(x) = sec(x)
g(x) = x^2 + 1

f(x) = h(x)g(x)