Math, asked by surendramahato92813, 9 months ago

Derivative of
d/dx x log x base e

Answers

Answered by hodeee4
6

Answer:

ln particular, the natural logarithm is the logarithmic function with base e. ln(e) = loge(x ). The graphs of two other logarithmic functions are ...

Step-by-step explanation:

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Answered by Asterinn
16

  \implies\dfrac{d(x \: logx)}{dx}

Now differentiate the above expression using product rule :-

  \implies \: x \: \dfrac{d( logx)}{dx}  + logx \:  \dfrac{dx}{dx}

  \implies \:( x \:  \times \dfrac{1}{x}  )+( logx  \times 1)

\implies \:1+logx

Answer :

1+logx

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Learn more :-

d(x^n)/dx = n x^(n-1)

d(log x)/dx = 1/x

d(e^x)/dx = e^x

d(sinx)/dx = cosx

d(cos x)/dx = -sin x

d(cosec x)/dx = -cot x cosec x

d(tan x)/dx = sec²x

d(sec x)/dx = secx tanx

d(cot x)/dx = - cosec² x

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