2023
Mathematics
67ca00ce0c643c71d77dee1f
Differentiate the function y = 3√x2(2x − x2)
A.
dy/dx=10x5/3/3−8x2/3/3
B.
dy/dx=10x2/3/3−8x5/3/3
C.
dy/dx=10x5/3/3−8x5/3/3
D.
dy/dx=10x2/3/3−8x5/3/3
Correct Answer: dy/dx=10x2/3/3−8x5/3/3
Explanation
y = 3√x2(2x−x2) = x(2/3)(2x − x2) = 2x(5/3) − x(8/3) Now, we can differentiate the function ∴dy/dx = (10x(2/3))/3 − (8x(5/3)/3
y = 3√x2(2x−x2) = x(2/3)(2x − x2) = 2x(5/3) − x(8/3) Now, we can differentiate the function ∴dy/dx = (10x(2/3))/3 − (8x(5/3)/3THIS WEEK's
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