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OpenStudy (loser66):
your trying?
OpenStudy (loser66):
yup, both side
OpenStudy (wade123):
@phi
OpenStudy (phi):
close:
\[ \frac{d}{dx}y^3 = 3y^2 \frac{dy}{dx} \]
OpenStudy (wade123):
ohh
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OpenStudy (phi):
on the other hand
\[ \frac{d}{dx}x^3 = 3x^2 \frac{dx}{dx} = 3x^2 \]
OpenStudy (wade123):
ohh i got it
OpenStudy (wade123):
now what do i do ?
OpenStudy (phi):
the left side
OpenStudy (phi):
let me use d instead of d/dx (easier to type):
d(4-xy) = d (4) - d(xy)
what is the derivative of a constant 4 with respect to x ?
for the 2nd term d(xy) use the product rule.
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OpenStudy (wade123):
idk nvm im gonna skip it
OpenStudy (phi):
the derivative of a constant is one of the first things you learn, right ?
you are doing a problem in "implicit differentiation" You don't study that until you know how to take the derivative of constants, the power rule (which you seem to know), trig functions, and various rules: product rule, chain rule. If those do not sound familiar then you need to come up to speed before tackling this problem.