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Differentiation question

Hi,
How do I do this?

differentiate e^x^2
Original post by amypops
Hi,
How do I do this?

differentiate e^x^2

Chain rule.
Reply 2
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amypops
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Original post by RDKGames
Chain rule.

Can you please explain how because I am quite confused
Original post by amypops
Can you please explain how because I am quite confused


Your function is a composite one of the form

f(g(x))

with f(x) = e^x and g(x)=x^2

So use the chain rule with u=x^2 to obtain

y=e^u

dy/dx = dy/du * du/dx
Original post by RDKGames
Your function is a composite one of the form

f(g(x))

with f(x) = e^x and g(x)=x^2

So use the chain rule with u=x^2 to obtain

y=e^u

dy/dx = dy/du * du/dx

2x(e^x^2)
Essentially, differentiate the power and multiple that differentiation to the function

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