 Hello students. Let's work out the following problem. It says if y is equal to x to the power 4 plus 10 and x changes from 2 to 1.99 find the approximate change in y. So let's now move on to the solution. Given that y is x to the power 4 plus 10. So dy by dx is equal to 4 into x to the power 3. Now since changes from 1.99 we have x is equal to 2 and x plus delta x is equal to 1.99 right So now since x is equal to 2 we have 2 plus delta x is equal to 1.99 So this implies delta x is equal to 1.99 minus 2 which is equal to minus 0.01 delta x is dx now the approximate change in y is given by dy which is dy by dx into dx Now dy by dx is 4x cube into dx is minus 0.01 Now x is 2. So we have 4 into 2 cube into minus of 0.01 So this is equal to 4 into 8 into minus of 0.01 which is equal to minus of 0.32 Hence the approximate change in y is minus 0.32 So this completes the question and the session. Bye for now. Take care. Have a good day