Question #edd42

1 Answer
Andy Y.
Jul 1, 2017

#=e^x+3/(xln(10))#

Explanation:

The final answer depends on whether #log(x)# is to be interpreted as the #log_10(x)# or #log_e(x)=ln(x)# (the natural logarithm). Let's assume you meant the log base 10.

#d/dx(e^x+3log_10(x))#

#=d/dx(e^x)+d/dx(3log_10(x))#

#=e^x+3d/dx(log_10(x))#

Using the change of base formula

#=e^x+3d/dx(ln(x)/ln(10))#

#=e^x+3/ln(10)d/dx(ln(x))#

#=e^x+3/ln(10)(1/x)#

#=e^x+3/(xln(10))#

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