## student1988 2 years ago Find the derivative of the function. f(t) = tan(e^9t) + e^(tan 9t)

1. student1988

|dw:1362233655486:dw|

2. student1988

|dw:1362233696126:dw| Here is my work, where did I make an error? please help I'll give a medal in return. Really need the help, thanks

3. nitz

$d/dt(\tan (e ^{9t}))$=$\sec ^{2}(e ^{9t}).e ^{9t}.(9)$

4. nitz

for second one its fine

5. student1988

would you happen to be familiar with WebAssign?

6. student1988

my answer comes out incorrect in webassign

7. student1988

8. .Sam.

Should be $\frac{d}{t d}\text{}\tan e^{9 t}+e^{\tan (9 t)}=9 \left(e^{9 t} \left( \sec ^2e^{9 t}\right)+e^{ \tan(9 t) } \left( \sec ^2(9 t)\right)\right)$