like why does the 4/3pi in derivative of v(t) remain the same or, where did he get the 3 from when the power was to the power of 2
#can someone help explain this for me
green shoal
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like why does the 4/3pi in derivative of v(t) remain the same or, where did he g...
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spare pilot
like why does the 4/3pi in derivative of v(t) remain the same or, where did he g...
(4/3)π is a constant.
As for 3, the volume should be (4/3)πr^3, not (4/3)πr^2. Then 3 comes from differentiating r^3.
green shoal
oh so do constants not change after deriving?
spare pilot
oh so do constants not change after deriving?
Yes. Derivative is linear, after all.
green shoal
Yes. Derivative is linear, after all.
oh ok so later on when the example shows how they got to the dr/dt, where did the 1/4pir^2 come from?
spare pilot
oh ok so later on when the example shows how they got to the dr/dt, where did th...
We got dV/dt = 4πr^2 (dr/dt), so dr/dt = (1/(4πr^2))(dV/dt).
green shoal
We got dV/dt = 4πr^2 (dr/dt), so dr/dt = (1/(4πr^2))(dV/dt).
ohh ok ty for the help
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