#How does the derivative of y^2 with respect to x is 2yy' I get the 2y part but not the y'?

11 messages · Page 1 of 1 (latest)

west nicheBOT
flint ravineBOT
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Flames

solar loom
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when you take the derivative of $f(x)=x^2$ what you get is $f'(x)=2x\frac{dx}{dx}=2xx'$ but since x' is just 1, you ignore it. $\$ when you take the derivative of $f(x)=y^2$ you're doing the same thing, but this time the y' term doesn't just equal 1, so you have to include it

flint ravineBOT
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Robert

solar loom
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this is all assuming you're differentiating with respect to x, which is safe to assume here

eager violet
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so basically since x' is dx/dx, we can divide that to 1 and dy/dx since there are different we keep it as dy/dx or y'??

eager violet
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how to close ticket

solar loom
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.close

eager violet
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.close