Question

Find the differential dy and evaluate dy for the given values of x and dx. a. $f(x) = 5x^2 + 4x + 5$; $x = 3$; $dx = -0.1$ dy = (Round to one decimal place.) b. $f(x) = x^{-1}$; $x = 3$; $dx = 0.1$ dy = (Round to two decimal places.)

          Find the differential dy and evaluate dy for the given values of x and dx.
a. $f(x) = 5x^2 + 4x + 5$; $x = 3$; $dx = -0.1$
dy = 
(Round to one decimal place.)
b. $f(x) = x^{-1}$; $x = 3$; $dx = 0.1$
dy = 
(Round to two decimal places.)

Find the differential dy and evaluate dy for the given values of x and dx.
a. f(x) = 5x^2 + 4x + 5; x = 3; dx = -0.1
dy =
(Round to one decimal place.)
b. f(x) = x^-1; x = 3; dx = 0.1
dy =
(Round to two decimal places.)

Added by Sue C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Apratim De

04/04/2022

Step 1

Given f(x) = 5x^2 + 4x + 5, we can find dy using the formula dy = f'(x) * dx, where f'(x) is the derivative of f(x) with respect to x. Show more…

Show all steps

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Find the differential dy and evaluate dy for the given values of x and dx. a. f(x)=5x^(2)+4x+5;x=3;dx=-0.1 dy= (Round to one decimal place.) b. f(x)=x^(-1);x=3;dx=0.1 dy= (Round to two decimal places.) Find the differential dy and evaluate dy for the given values of x and dx a.f=5+4x+5x=3dx=-0.1 dy= (Round to one decimal place.) b.f=x1x=3d=01 dy= (Round to two decimal places.)