Q. 235.0( 2 Votes )

Find the rate at which the function f(x) = x4 – 2x3 + 3x2 + x + 5 changes with respect to x.

Answer :

Given,


y = x4 – 2x3 + 3x2 + x + 5


We need to rate of change of f(x) w.r.t x.


Rate of change of a function w.r.t a given variable is obtained by differentiating the function w.r.t that variable only.


So in this case we will be finding dy/dx


As, y = x4 – 2x3 + 3x2 + x + 5


Now, differentiating both sides w.r.t x –


)


Using algebra of derivatives –



Use:




Rate of change of y w.r.t x is given by –


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