Question
Download Solution PDFxe के संबंध में ex के व्युत्पन्न क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
g(x) के संबंध में f(x) का अवकलन = \(\rm f'(x)\over g'(x)\)
f(x) और g(x), x का फलन है
गणना:
f(x) = ex
f'(x) = \(\rm {d\over dx}e^x = e^x\)
g(x) = xe
g'(x) = \(\rm {d\over dx}x^e = ex^{e-1}\)
आवश्यक व्युत्पन्न 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
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