Question #edd42

1 Answer
Jul 1, 2017

=ex+3xln(10)

Explanation:

The final answer depends on whether log(x) is to be interpreted as the log10(x) or loge(x)=ln(x) (the natural logarithm). Let's assume you meant the log base 10.

ddx(ex+3log10(x))

=ddx(ex)+ddx(3log10(x))

=ex+3ddx(log10(x))

Using the change of base formula

=ex+3ddx(ln(x)ln(10))

=ex+3ln(10)ddx(ln(x))

=ex+3ln(10)(1x)

=ex+3xln(10)