Question
Asked Oct 13, 2019
Find the indicated derivative and simplify
y' for y (6+5x-8x2) ex
y'-
II
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Find the indicated derivative and simplify y' for y (6+5x-8x2) ex y'- II

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check_circleExpert Solution
Step 1

Given,

у%3D (6 + 5х —8x?)е*
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у%3D (6 + 5х —8x?)е*

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Step 2

Now differentiating with respect to x on both sides, we get

...
d((6+5x-8x2)e*
dy
dx
dx
y' ex d(6+5x-8x2)
(6 5x 8x2) d(e*)
dx
dx
= e* (05 16x) + (6+5x - 8x2)e*
— * (5 — 16х) + (6 + 5х — 8х?)е*
%3D е* (5 — 16х +6+ 5х — 8х?)
%3D е*(11 — 11х — 8х?)
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d((6+5x-8x2)e* dy dx dx y' ex d(6+5x-8x2) (6 5x 8x2) d(e*) dx dx = e* (05 16x) + (6+5x - 8x2)e* — * (5 — 16х) + (6 + 5х — 8х?)е* %3D е* (5 — 16х +6+ 5х — 8х?) %3D е*(11 — 11х — 8х?)

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Tagged in

Math

Calculus

Derivative