Exponential functions differentiation | Advanced derivatives | AP Calculus AB | Khan Academy

Sal differentiates the exponential function 7^(x_-x) using our knowledge of the derivative of a_ and the chain rule.

AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago.

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[morgard]

If you are lost, you can still use the implicit method, which makes these exponential problems much easier.
y=7^(x^2 -x)
ln(y)=(x^2-x)ln(7)
(1/y)(dy/dx)=ln(7)(2x-1)
(dy/dx)=yln(7)(2x-1)
(dy/dx)=7^(x^2-x)ln(7)(2x-1)

[hg.]

This is the biggest stumbling block I've had with derivatives and I've searched all over and this is the best I've found but it's a hsndwaving shell game on steroids but I'll replay it till I get with the miracle of replay and pity the people who draw blanks at exponential func derivatives knowing that a big shell game has to me mastered here to deal with them.

[OLAWDYLAWDY]

I'm a bit confused. Why don't we also take the derivative of (2x-1)? doesn't the chain rule say to do that? Sorry for a silly question