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Fred Y.

asked • 09/10/16

I need help on calc 2

derivative of 7^root(x-3)

Arturo O.

Fred,
 
The way the problem is stated, with the "^" symbol, it looks like you want the derivative of 7√(x-3).
 
Is that correct, or did you mean 7/√(x-3) ?  
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09/10/16

Fred Y.

the first one is what i mean by the question
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09/10/16

Arturo O.

OK, it looks like Nicolas worked it assuming it was 7/√(x-3).  I try the other solution later tonight, unless someone beats me to it.  
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09/10/16

Ken S.

y = 7^root(x-3) is an exponential; the derivative of an exponential starts by copying the exponential, then applying the factor ln(base), and then applying the chain rule.
 
I get y'  = 7√(x-3)•ln 7•½•(x-3)
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09/10/16

Arturo O.

I got the same solution, using the logarithmic derivative.
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09/10/16

2 Answers By Expert Tutors

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Nicolas M. answered • 09/10/16

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Fred Y.

Thank you 
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09/10/16

Arturo O. answered • 09/10/16

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