differentiate y = 2^3x^2

read as two to the 3x squared power

2 answers

y=a^kx

y'= k*a^(kx)*ln(a)
y = 2^(3x^2)
y' = ln2 * 6x * 2^(3x^2)

it helps to go at it like this

y = 2^(3x^2)
ln y = 3x^2 ln2
1/y y' = 6x ln2
y' = ln2 6x 2^(3x^2)