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Find the derivative of the function.

$$f(x)=e^{3} \ln x$$

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00:44

Find the derivative of the functions.$$f(x)=(\ln x)^{3}$$

02:09

Find the derivative of the function.$$f(x)=x^{3} e^{x}$$

00:25

00:41

Find the derivative of the function.$$f(x)=\ln \left(x^{3}+3 x\right)$$

Transcript

In this question, we are given a function. F of x is equal to a raised to part 3 natural log of x. We need to obtain the derivative of this function now. Let us first write some rules of derivative. The first rule is the constant rule. The constant rule of derivative states that the derivative of that is the d of any constant, a along with the variable access to power, is given by a tie derivative of access to pen. That means the constant remove out of the derect. The second rome is the log rule. This rule states that the derivative of natural log of x is given by 1 over x. Now,…

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