Answer:
the instantaneous rate of change of f(x) at x=(-3) is f'(x=(-3))= (-3)
Step-by-step explanation:
for f(x)=x²+3*x
the rate of change of f(x) is
f'(x)=df(x)/dx = 2x + 3
since the derivative of x² is 2x and the derivative of 3*x is 3.
Then at x=(-3)
f'(x=(-3))= 2*(-3) +3 = (-3)
then the instantaneous rate of change of f(x) at x=(-3) is f'(x=(-3))= (-3)
