Question

how would I find the derivative of log(base10)(t+2^t) with respect to t? not sure how I would go about a differentiation problem like this.

Answer 1

\[[\log_{10} (t+2^{t})] dt\] ?

Answer 2

yes exactly

Answer 3

\[[1+\ln 2\times(2^{t}) ]/[\ln10\times (t+2^{t})]\]

Answer 4

what differentiation rules did you use? if you don't mind me asking

Answer 5

chain rule

Answer 6

okay thanks!

Answer 7

https://www.math.ucdavis.edu/~kouba/CalcOneDIRECTORY/chainruledirectory/ChainRule.html

Answer 8

http://en.wikipedia.org/wiki/Chain_rule