Let y=e^ (x/5).

Find the differential dy when x=3 and dx=0.3

Find the differential dy when x=3 and dx=0.01

Question

Mathematics

Cruz Alexander

14 January, 01:15

Let y=e^ (x/5).

Find the differential dy when x=3 and dx=0.3

Find the differential dy when x=3 and dx=0.01

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Answers (1)

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Destiney Rasmussen · Answer 1

Y = e^ (x/5)

d y / d x = 1/5 * e^ (x/5)

d y = 1/5 * e^ (x/5) d x

A) x = 3, d x = 0.3

d y = 1/5 * e^ (0.6) * 0.3 = 0.06 * e^ (0.6)

B) x = 3, d x = 0.01

d y = 1/5 * e^ (0.6) * 0.01 = 0.002 * e^ (0.6)

Let y=e^ (x/5).Find the differential dy when x=3 and dx=0.3Find the differential dy when x=3 and dx=0.01

Let y=e^ (x/5).

Find the differential dy when x=3 and dx=0.3

Find the differential dy when x=3 and dx=0.01