Question

DERIVATIVE QUESTION: how to find the derivative of this: http://i.imgur.com/jh8EW.png

Answer 1

\[\ln(y)=x^2\ln(7^2)\]

Answer 2

\[y=e^{(x^2\ln(49)}\]

Answer 3

thats not the right answer :S

Answer 4

yes
\[dy/dx=2x \ln(49)e^{x^2\ln49}\]

Answer 5

@Jonask I believe your first step is wrong. It should be:\[\ln(y)=2^{x^2}\ln(7)\]

Answer 6

You can then use implicit differentiation, but you would need to first make another substitution along the way to work out the derivative of \(2^{x^2}\).

Answer 7

oh i was getting worried about that
can we use mod thing here

Answer 8

got it, the answer is 2^(x^2+1)*7^(2^(x^2))*x*ln(2)*ln(7)

Answer 9

that is the correct answer.