Find the partial derivative (dz/dy) if z =

koladeadesola95

koladeadesola95

Answered question

2022-04-24

Find the partial derivative (dz/dy) if z = xy/y+cosx

Answer & Explanation

star233

star233

Skilled2022-06-20Added 403 answers

Differentiate both sides of the equation.

ddy(z)=ddy(xyy+cos(x))

The derivative of z with respect to y is z'.

Differentiate the right side of the equation.

xcos(x)(y+cos(x))2

Reform the equation by setting the left side equal to the right side.

z'=xcos(x)(y+cos(x))2

Replace z' with dzdy.

dzdy=x cos(x)(y+cos(x))2

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