Starts today (1st July) 🏁 Join CAT 2025 Intensive 150-Day Batch by a 5-time 100%iler now
Edit MetaData
The first derivative of $$x^{x}$$ is
$$x log x$$
$$x x^{x-1}$$
$$x^{x}(1-log x)$$
$$x^{x}(1+log x)$$
Let us assume $$T=x^x$$
Taking log on both sides:
$$\log T=x\log x$$
$$\dfrac{1}{T}\left(\dfrac{dT}{dx}\right)=x\cdot\dfrac{1}{x}+\log x$$
$$\dfrac{dT}{dx}=x^x\left(1+\log x\right)$$
=> Option D is the correct answer.
Create a FREE account and get:
Login to your Cracku account.
Enter Valid Email
Follow us on
Incase of any issue contact support@cracku.in
Boost your Prep!
Detailed syllabus & Topic-wise Weightage
By proceeding you agree to create your account
Free CAT Syllabus PDF will be sent to your email address soon !!!
Join cracku.in for Expert Guidance.