I need help finding the derivative of

(x^2+sinx)secx

3 answers

let y = (x^2 + sinx)/cosx

by quotient rule....
dy/dx = ( cosx(2x + cosx) - sinx(x^2 + cosx) )/cos^2 x

simplify if needed.
there is no quotient it is multiplication
I changed secx to 1/cosx

however, if you insist on using the product rule

dy/dx = (x^2 + sinx)(tan^2 x) + (2x + cosx)(secx)

illustrating that there is often more than one way to express the same result.
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