Question:
If y=xˣ^², then dydx is equal to:
If y=xˣ^², then dydx is equal to:
Show Hint
Use logarithmic differentiation for variable powers.
Updated On: Mar 18, 2026
- 2ln x
- 2ln x+1
- (ln x+1)xˣ^²
- None of these
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Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Step 1: Take logarithm. ln y = x² ln x
Step 2: Differentiate. (1)/(y)(dy)/(dx)=2xln x+x
Step 3: Final result. (dy)/(dx)=xˣ^²(2xln x+x)
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