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CBSE Class 12 Math 2023 Delhi Set 1 Solved Paper

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Question : 6
Total: 38
The derivative of x2x w.r.t. x is:
Solution:     👈: Video Solution
y‌=x2x
log‌y‌=2x‌log‌x
‌
d
dx
‌log‌y‌=‌
d
dx
2x‌log‌x
‌
1
y
‌
dy
dx
‌=2[x‌
d
dx
‌log‌x+log‌x‌
d
dx
x]
‌
dy
dx
‌=2y[x×‌
1
x
+log‌x]
‌
dy
dx
‌=2x2x[1+log‌x]
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