Derivative of log and exponential function How would you find the derivative of: y= e^sqrt(x) + ln sqrt(x) Would I simply use the product rule?

tramolatzqvg

tramolatzqvg

Answered question

2022-11-19

Derivative of log and exponential function
How would you find the derivative of:
y = e x + ln x
Would I simply use the product rule?

Answer & Explanation

Zoe Andersen

Zoe Andersen

Beginner2022-11-20Added 16 answers

Since
D x ( x ) = 1 2 x
then
D x y ( x ) = D x [ e x + ln ( x ) ] = e x D x ( x ) + 1 x D x ( x ) = 1 2 x [ e x + 1 x ]

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