(a) Find the differential dyy=rad(15+x2) (b) Evaluate dy for the given values of x and...

petrusrexcs

petrusrexcs

Answered

2021-12-30

(a) Find the differential dyy=rad(15+x2)
(b) Evaluate dy for the given values of x and dx. x = 1, dx = −0.2

Answer & Explanation

Linda Birchfield

Linda Birchfield

Expert

2021-12-31Added 39 answers

a). Given,
y=15+x2
The differential of y is the derivative of the function times the differential of x.
Therefore,
dy=1215+x2ddx(15+x2)dx
dy=1215+x2(0+2x)dx
dy=x15+x2dx
lalilulelo2k3eq

lalilulelo2k3eq

Expert

2022-01-01Added 38 answers

b). Substituting x=1 and dx=-0.2 in dy, we get
dy=115+(1)2cdo(0.2)
dy=116(0.2)
dy=0.24
dy=0.05

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