Find the Differential Question!

Question

Let y = tan(5x+5).

Find the differential dy when x = 5 and dx = 0.3I

Find the differential dy when x = 5 and dx = 0.6

Answer 1

You can take differentials rather than derivatives:

dy = sec²(5x+5)(5dx)

You are actually approximating Δy given Δx, which should be reasonable for small deltas:

Δy = 5Δxsec²(5x + 5)

Just plug in and make sure your calculator is in radians.

Please consider a tutor. Take care.