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Find the approximate change in the surface area of a cube of side $x$ metres caused by decreasing the side by $1 \%$.
01:48
Dharmendra J.
Calculus 1 / AB
Chapter 6
Application of Derivatives
Section 4
Tangents and Normals
Differentiation
Oregon State University
Harvey Mudd College
Baylor University
Lectures
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in the question we have to find the approximate change in the volume of a cube of side and m caused by increasing side by one percent. Now moving towards this solution side of CUba's X meters. Then the cube volume will be X cubed. So this is the question one on differentiating the question one with respect to X D V by D X will be equal to three access square. Let it with the question too. So now According to the statement increase inside as of 1%, that is X by hand Greg. So now moving further so Dell X will be equal to X 500 letters to the question number three. Now, approximately the change in volume. That is then we mind DB is approximately equal to this. So D V by DX into D X will be equal to D V by dx into Dylex. That is three x square in two X by 100 three by 100 X cubed minus .03 x sq cubic. Meet us. And so this will be the answer to the question. Thank you.
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