252 Calculus: multi-variable differentials by: javier AWS
252 Calculus: multi-variable differentials
by: javier
differentials
differentials basics
basics
d (x)
basics
d (xy)
basics ( ) d x3 y5
basics [ ( )] d sin x3 y5
basics [ ( )] d tan x3 y5
basics [ ( )] d log x3 y5 z7
basics [ d e
xy3 w
]
basics find dz
x3 + z4 y3 x4 w2 = 8
basics find
dx dt
x3 + z4 y3 x4 w2 = 8
basics find
∂w ∂x
x3 + z4 y3 x4 w2 = 8
differentials
differentials estimate ∆z using differentials
estimate ∆z using differentials Suppose
V = bhw
estimate ∆z using differentials Suppose
V = bhw estimate ∆V if b goes from 5 to 4.8,h goes from 10 to 10.1, and w goes from 7 to 7.2,
estimate ∆z using differentials Suppose
V = bhw estimate ∆V if b goes from 5 to 4.8,h goes from 10 to 10.1, and w goes from 7 to 7.2, estimate the percentage change in V if b goes from 5 to 4.8,h goes from 10 to 10.1, and w goes from 7 to 7.2,
by: javier
differentials
differentials basics
basics
d (x)
basics
d (xy)
basics ( ) d x3 y5
basics [ ( )] d sin x3 y5
basics [ ( )] d tan x3 y5
basics [ ( )] d log x3 y5 z7
basics [ d e
xy3 w
]
basics find dz
x3 + z4 y3 x4 w2 = 8
basics find
dx dt
x3 + z4 y3 x4 w2 = 8
basics find
∂w ∂x
x3 + z4 y3 x4 w2 = 8
differentials
differentials estimate ∆z using differentials
estimate ∆z using differentials Suppose
V = bhw
estimate ∆z using differentials Suppose
V = bhw estimate ∆V if b goes from 5 to 4.8,h goes from 10 to 10.1, and w goes from 7 to 7.2,
estimate ∆z using differentials Suppose
V = bhw estimate ∆V if b goes from 5 to 4.8,h goes from 10 to 10.1, and w goes from 7 to 7.2, estimate the percentage change in V if b goes from 5 to 4.8,h goes from 10 to 10.1, and w goes from 7 to 7.2,
