That looks difficult - better substitute u = 7 + e^(2x)
I have this differentiation problem which am completely not sure about. I have done the question part way, but would like to know if am heading in the right direction before I take the next step.
Could you please take a look and advise
Just in case a picture helps...
... is the chain rule. Straight continuous lines differentiate downwards (integrate up) with respect to x, and the straight dashed line similarly but with respect to the dashed balloon expression (the inner function of the composite which is subject to the chain rule).
The general drift being...
Don't integrate - balloontegrate!
Balloon Calculus; standard integrals, derivatives and methods
Balloon Calculus Drawing with LaTeX and Asymptote!