What's this...a coefficient and a variable as the exponent...(╯°□°）╯︵ ┻━┻)

Calculus Level 2

Find the derivative of this function.

C B D A

Lew Sterling Jr by Lew Sterling Jr , 24, USA

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2 solutions

Lew Sterling Jr
Oct 25, 2014

ln(y)=(q)(ln2)

(1/y)(y')=(ln2)(q')

y'=(7)(ln2)(y)

y'=(7)(ln2)(2^7x)

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Rohan Kumar
Oct 17, 2014

This can be solved as : Consider q=7x, then we have, y= f(q)=2^q. We need to find y'. We have, ln(y)=(q)(ln2). Taking derivatives on both the sides, we have (1/y)(y')=(ln2)(q') or y'=(7)(ln2)(y) or y'=(7)(ln2)(2^7x) i.e Option D

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