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
