Question

d/dx [3e^x + 5ln x] =
what are the first steps to solve?

Answer 1

do you know what the derivative of \(e^x\) is?

Answer 2

e^x...right?

Answer 3

yes, so the derivative of \(3e^x\) is also \(3e^x\)

Answer 4

do you know what the derivative of \(\ln(x)\) is ?

Answer 5

Ohh ok. Thank you. What next?

Answer 6

just x...right?

Answer 7

oh no

Answer 8

1/x

Answer 9

\[\frac{d}{dx}[\ln(x)]=\frac{1}{x}\] right

Answer 10

and so the derivative of \(5\ln(x)\) is \(\frac{5}{x}\)

Answer 11

stick a plus sign between them and you are done

Answer 12

ohh ok. so it is 3e^x + (5/x)

Answer 13

Thank you!!

Answer 14

yes, that is it, not too hard right?

Answer 15

yw

Answer 16

no. thank you for your help