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Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640

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BuyFindarrow_forward

Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640
Textbook Problem

In Exercises 1-6, use dy to approximate Δy for the function y = f(x) when x changes from x = a to x = b.

5. f ( x ) = x 2 + 4 x 1 ; a = 4, b = 4.1

To determine

To find: The approximate value of the given function.

Explanation

Given information:

The given function is f(x)=x2+4x1 .

Formula used:

The approximate change in function f(x) is, Δ[f(x)]=f(x)Δx (1)

Calculation:

The value of Δx in function f(x) changes from a=4 to b=4.1 .

Δx=ba=4.14=0.1

The function is f(x)=x2+4x1 .

Differentiate above function with respect to x and get the value of f(x) .

ddx[f(x)]=ddx(x2+4x1)f(x)=(x1)((2x+0)2x2+4)x2+4(10)(x1)2 (d(u/v)dx=vdudxudvdxv2)=(2x22x2x2+4)x2+4(x1)2=<

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