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Calculus Precalculus Pre Calculus

Lily E.

asked • 03/10/21

calc delta y help

Let $y = 2 x^{2} + 3 x + 3$ . If $Δ x = 0.4$ at $x = 3$ , use linear approximation to estimate $Δ y$

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Michael M. answered • 03/10/21

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Find dy/dx at x = 3.

dy/dx = 4x + 3

When x= 3, dy/dx = 4(3) + 3 = 15

dy/dx = 15.

Plug in 0.4 for dx and solve for dy.

dy /(0.4) = 15

dy = 6

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