How to find first derivative of -2(e^2x+1)^3? i have multipled the exponent with the number -2, giving -6. -6(e^2x+1)^2 however not sure which rule to use in this question. for the !

Use the chain rule. Let

and take . The chain rule says

The relevant derivatives are then

(power rule)

(chain rule applied to ; the constant vanishes)

So,

true? is that what you're asking or do you mean something else?