A line has an equation y = e^(2x) - 10e^(x) +12x, find dy/dx
To differentiate this equation, treat it like you would any other equation you are differentiating without exponentials i.e. take each term on it's own and differentiate that individually, then put the answer together at the end.DON'T FORGET: y = eax, dy/dx = aeax1) Take the term e2x and differentiate.y = e2xdy/dx = 2e2x2) Take the term -10ex and differentiate. (Don't forget about the negative!)y = -10exdy/dx = -10ex3) Take the term 12x and differentiate.y = 12xdy/dx = 124) Sum all the components to give the final answer.dy/dx = 2e2x - 10ex +12
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