Derivative of (x+2)^x+2

Derivative of (x+2)^x+2. Simple step by step solution, to learn. Simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

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Derivative of (x+2)^x+2:


((x+2)^x+2)'

((x+2)^x)'+(2)'

(x+2)^x*((x)'*ln(x+2)+(x*(x+2)')/(x+2))+(2)'

(x+2)^x*((x)'*ln(x+2)+(x*((x)'+(2)'))/(x+2))+(2)'

(x+2)^x*((x)'*ln(x+2)+(x*((2)'+1))/(x+2))+(2)'

(x+2)^x*((x)'*ln(x+2)+(x*(0+1))/(x+2))+(2)'

(x+2)^x*((x)'*ln(x+2)+(x*1)/(x+2))+(2)'

(x+2)^x*(1*ln(x+2)+(x*1)/(x+2))+(2)'

(x+2)^1+(2)'

((x)'+(2)')^x+(2)'

((2)'+1)^x+(2)'

(0+1)^x+(2)'

(x+2)^x*(ln(x+2)+x/(x+2))+0

(x+2)^x*(ln(x+2)+x/(x+2))

The calculation above is a derivative of the function f (x)

 

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