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Differentiation of exponential and logarithmic functions — Question 61

Original QCE Vault practice · 1 mark

Q61 · Practice questionTechnology-freeSimple familiar1 mark

QUESTION 61

If g(x)=ln⁡(ex+1)g(x)=\ln(e^x+1), then g′(x)g'(x) is
(A)
1ex+1\dfrac1{e^x+1}
(B)
exln⁡(ex+1)e^x\ln(e^x+1)
(C)
exex+1\dfrac{e^x}{e^x+1}
(D)
ex+1ex\dfrac{e^x+1}{e^x}
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