Question

pls.. its urgent

for the curve y=5x-2x³,if x is
increasing at the rate of 2 units /sec ,then at x=3 the slope of the curve is changing at ..........??​

Answer 1

Given

equation of curve y=5x-2x³

diferenciating with respect to x we get

dy/dx = 5 - 6x^3

x = 2

so

dy/dx = 5 - 48

dy/dx = - 43m/s

when x = 3

slope = 5 - 6*27= -157m/s

change in slope = -48 - (-257)= 209m/s