Find the derivative of the following function.
A)
B)
C)
D)
E)

Question

​Find the derivative of the following function. ​  ​
A) ​ 
B) ​ 
C) ​ 
D) ​ 
E) ​

Quizplus · Accepted Answer

The given function is in the form of $y=e^x+\ln(x)$. To differentiate this, we use the sum rule which states that the derivative of the sum of two functions is the sum of their derivatives. Thus, we differentiate $e^x$ and $\ln(x)$ separately and add them up. The derivative of $e^x$ is $e^x$ and the derivative of $\ln(x)$ is $\frac{1}{x}$. Therefore, the derivative of the given function is $e^x+\frac{1}{x}$. This matches with choice B.

​Find the Derivative of the Following Function

Find the Derivative of the Following Function