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Maths C4

How do you differentiate when the x is in the power? eg 2^(3x+1)
Do you convert it into e and ln?
Original post by AJB123
How do you differentiate when the x is in the power? eg 2^(3x+1)
Do you convert it into e and ln?


Let y=23x+1y= 2^{3x+1} and take logs :smile:
Chain Rule should work

Spoiler

(edited 8 years ago)
y = 2^x
lny = xln2
1/y(dy/dx) = ln2
dy/dx = yln2 = (2^x)(ln2)

for 2^(3x+1) you let u = 3x+1
which would give you an addition (3) for du/dx
therefore if y = 2^(3x+1)
dy/dx = (2^(3x+1))(ln2)(3)
(edited 8 years ago)
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AJB123
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Thank you all!

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