Question

find the derivative:

Answer 1

\[y=(sinx)^\sqrt{x}\]

Answer 2

so far i have: \[\sqrt{x}(sinx)^{\sqrt{x}-1}(cosx)\]

Answer 3

it doesn't work when exponent is a avariable.
u need to use logarithmatic differentiation

Answer 4

take log on both sides , what u get ?

Answer 5

so i have to set both sides to ln

Answer 6

yep

Answer 7

oh i have this one written out anyways, can u help me with this one: \[y=(1+4e ^{2x})^{2x}\]

Answer 8

same thing, take ln on both sides.....

Answer 9

the ln(1+4e^2x)^2x .. confused as to what to do with that.

Answer 10

\(\large ln a^b=blna\)

Answer 11

then use product rule

Answer 12

ln y= 2x ln(1+4e^2x)
diff. w. r. t. x

Answer 13

i think u can take it from here...

Answer 14

so i use the product rule for 2x * lm(1+4e^2x) ??

Answer 15

yes.