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Mathematics 12 Online
OpenStudy (anonymous):

derivative: 2^(x/2)

OpenStudy (turingtest):

chain rule... what is the derivative of \[a^x\]?

OpenStudy (turingtest):

...with respect to x ?

OpenStudy (anonymous):

lna (a^x)?

OpenStudy (turingtest):

yes, now you only need to apply the chain rule and we're done

OpenStudy (turingtest):

call \(x/2=f(x)\)then we can write\[a^{f(x)}\]by the chain rule, then the derivative is\[a^{f(x)}\cdot f'(x)\]

OpenStudy (anonymous):

oh ok. thank you!

OpenStudy (turingtest):

welcome :D

OpenStudy (turingtest):

I made a typo above and forgot lna sorry :(

OpenStudy (anonymous):

\[2^{x/2}\ln2*1/2\]

OpenStudy (turingtest):

yup :)

OpenStudy (anonymous):

derivative of x=1 and i took the constant 1/2 out

OpenStudy (anonymous):

thanks for the help :)

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