#Differentiate

28 messages · Page 1 of 1 (latest)

patent rampartBOT
pure warren
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@flint pine ^

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are you able to help

brave tree
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Don't ping random people for help

pure warren
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ok sorry

brave tree
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Do you know how to differentiate e^x?

pure warren
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yeah but this is not e^f(x)

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this is a^f(x)

brave tree
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Generally you can rewrite a^f(x) as e^(f(x)ln(a))

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(a being a positive constant)

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So this is just an application of chain rule

pure warren
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on my formula sheet it says a^f(x) --- dx/dy = (ln a)(f'(x)a^(f(x))

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but how do i do that when there is a 400 mutliplying it

brave tree
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d/dx (400 * smth) = 400 * d/dx (smth)

flint pine
pure warren
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Is this correct

IMG_3449.png
pure warren
brave tree
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The else is fine

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Wait though

pure warren
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why do i need parenthesis

brave tree
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a*-b is confusing

brave tree
pure warren
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so do i stop at -48ln3x3^-0.12t

brave tree
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Yes

pure warren
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this is the whole question

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but i dont know how to solve for question 2.b)