Question

find the derivative of f(t) = tan(e^4t) + e^tan 4t

Answer 1

Hey suny c:

So what are you having trouble with?
Remember your tangent derivative?
Remember your e^x derivative?

Just have to apply some chain rule after that.

Answer 2

i think i am right about this answer
4e^4t*[sec(e^4t)]^2+4e^tan4t*(sec4t)2

Answer 3

but web assign says i am wrong

Answer 4

\[\Large\rm f(t)=\tan(e^{4t})+e^{\tan4t}\]\[\Large\rm f'(t)=4e^{4t}\tan(e^{4t})+4(\sec^24t)e^{\tan4t}\]

Soooo, yah looks good.
Maybe just some typos?
On the far right, you dont have a ^ for your 2

Answer 5

\[\Large\rm f'(t)=4e^{4t}\sec^2(e^{4t})+4(\sec^24t)e^{\tan4t}\]Bah sorry that first term...