Question

find the derivative of :
\[y=(5x+\sin^{-1}3x)^{{e^x}}\]

Answer 1

implicit or partial?

Answer 2

implicit with respect to t is:

\[y=(5+\sin^{-1}(3x))^{{e^X}}\]
\[y'=x' e^x(5+\sin^{-1}(3x))^{{e^X-1}} \frac{3x'} {\sqrt{1-(3x)^2}}\] maybe? that e^x has me concerned

Answer 3

i know me too but it looks right

Answer 4

wolfram says its good, except for that "3" i put up there

Answer 5

if its implicit with respect to x; then x'=1

Answer 6

ahhh yes wolframalpha i should have plugged and chugged

Answer 7

just the variable in the exponent was bothering me, but i understand now, thanks for the help

Answer 8

youre welcome :)