Find the instantaneous rate of change for the function at the given value? F(x)x^2+3x at x=-1

1 Answer
May 21, 2018

#F'(-1) =1#

Explanation:

The instantaneous rate of change of a function #F(x)# at #x=x_i# is given by #F'(x_i)#

In this example #F(x) = x^2+3x#

Apply the power rule.

#F'(x) = 2x+3#

We are asked to find the instantaneous rate of change of #F(x)# at #x=-1# which equals #F'(-1)#

#F'(-1) = 2xx(-1)+3 =1#