Question

let y= 3tan(x)

find the differential dy=______dx

Answer 1

3sec^2(x)

Answer 2

\[dy = 3 {d \over dx} [ \tan(x)] = 3*\sec^2(x)dx\] Chain rule is your friend.

Answer 3

3sec^2(x)

Answer 4

Evaluate dy and Δy when x=π/4 and dx=−0.1