Question
Download Solution PDFWhat is the derivative of ex with respect to xe?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The differentiation of f(x) wrt g(x) = \(\rm f'(x)\over g'(x)\)
f(x) and g(x) be the function of x
Calculation:
f(x) = ex
f'(x) = \(\rm {d\over dx}e^x = e^x\)
g(x) = xe
g'(x) = \(\rm {d\over dx}x^e = ex^{e-1}\)
Required derivative D = \(\rm f'(x)\over g'(x)\)
D = \(\rm e^x\over ex^{e-1}\) = \(\rm xe^x\over ex^e\)
Last updated on May 30, 2025
->UPSC has released UPSC NDA 2 Notification on 28th May 2025 announcing the NDA 2 vacancies.
-> A total of 406 vacancies have been announced for NDA 2 Exam 2025.
->The NDA exam date 2025 has been announced for cycle 2. The written examination will be held on 14th September 2025.
-> Earlier, the UPSC NDA 1 Exam Result has been released on the official website.
-> The selection process for the NDA exam includes a Written Exam and SSB Interview.
-> Candidates who get successful selection under UPSC NDA will get a salary range between Rs. 15,600 to Rs. 39,100.
-> Candidates must go through the NDA previous year question paper. Attempting the NDA mock test is also essential.