How do I differentiate 3^2x?
By recalling that eln(a) = a, you can rewrite 32x as e2xln(3).
Then, you can differentiate this like any other e function, by using the product rule.
d/dx (e2xln(3)) = e2xln(3) x d/dx (2xln(3))
d/dx (e2xln(3)) = e2xln(3) x 2ln(3)
LD
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How would you differentiate f(x)=3x(2x-1)^2
a) Find the indefinite integral of sec^2(3x) with respect to x. b) Using integration by parts, or otherwise, find the indefinite integral of x*sec^2(3x) with respect to x.