Find dydxx 1 for y 2x53 x23Solutionhere y2x53x23 differen

Find dy/dx|_x = 1 for y = 2x^5/3 - x^2/3

Solution

here y=2x5/3-x2/3

differentiating both sides w r t \'x\'

dy/dx=2(5/3)x(5/3)-1-(2/3)x(2/3)-1

dy/dx=(10/3)x2/3-(2/3)x-1/3

at x=1

dy/dx=(10/3)(1)2/3-(2/3)(1)-1/3

dy/dx=(10/3)-(2/3)

dy/dx=8/3

 Find dy/dx|_x = 1 for y = 2x^5/3 - x^2/3Solutionhere y=2x5/3-x2/3 differentiating both sides w r t \'x\' dy/dx=2(5/3)x(5/3)-1-(2/3)x(2/3)-1 dy/dx=(10/3)x2/3-(2

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