How do you find the derivative of #y=6^(2x)#?

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How do you find the derivative of #y=6^(2x)#?

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Answer 1 · 2016-10-31T13:39:29

ans.#6^(2x)2ln6.#

Explanation:

to find this derivative we we'll use the chain rule.
according to chain rule: #dy/dx = (dy/dz) (dz/dx).#
let z= 2x
now#dy/dz =d6^z/dz =6^zln6#
#dz/dx =d(2x)/dx# =2
so the ans is #6^(2x)2ln6#

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How do you find the derivative of #y=6^(2x)#?

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