The derivative of x^{2 x} w.r.t. x is:

CBSE Class 12 Math 2023 Delhi Set 1 Solved Paper

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Question : 6 of 38

Marks: +1, -0

The derivative of x2x w.r.t. x is:

x2x−1
2x2x‌log‌x
2x2x(1+log‌x)
2x2x(1−log‌x)

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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