It is given that tan (x + y) = x. To determine` dy/dx` use implicit differentiation.

`sec^2(x + y)*(1 + dy/dx) = 1`

=> `1 + dy/dx = 1/(sec^2(x + y))`

=> `1 + dy/dx = cos^2(x + y)`

=> `dy/dx = cos^2(x + y) - 1`

=> `dy/dx = -sin^2(x + y)`

**The derivative **`dy/dx = -sin^2(x + y)`

## We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

- 30,000+ book summaries
- 20% study tools discount
- Ad-free content
- PDF downloads
- 300,000+ answers
- 5-star customer support

Already a member? Log in here.

Are you a teacher? Sign up now