Let y=4√(x).

Find the change in y, when x=2 and the change in x is 0.4

Find the differential dy when x=2 and dx=0.4

Let y=4√(x).

Find the change in y, when x=2 and the change in x is 0.4

Find the differential dy when x=2 and dx=0.4

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Georgetown, KY

I see we're really working on Calculus today, Dalia! :)

Alright, let's tackle this one. First, a rewrite...

y = 4 x^{1/2} (Derivation doesn't like roots; it likes exponents.)

Now the derivative...

dy = 2 x^{-1/2} dx

Solving the differential at the point given...

dy = 2 (2)^{-1/2}(0.4)

= (2*0.4)/√2

= (0.8)/√2 OR 4 / (5√2) OR .56569.

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