Y=f(x) then what is the instantaneous rate of change in y
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If
y=f(x)=2x2,then by the power rule, the instantaneous rate of change of y with respect to x is the derivative d y
dx=f'(x)=4x
.At an arbitrary point
x=X0
, this derivative is just f'(X0)=4X0.If X0=0, then f'(X0)=f'(0)=4
⋅0=0
.
y=f(x)=2x2,then by the power rule, the instantaneous rate of change of y with respect to x is the derivative d y
dx=f'(x)=4x
.At an arbitrary point
x=X0
, this derivative is just f'(X0)=4X0.If X0=0, then f'(X0)=f'(0)=4
⋅0=0
.
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