Estimate the rate of change of f(x) = 35(0.7)^x at x = 0.​

x = infinity

Step-by-step explanation:

f(0)=35(0.7x)

0=35(0.7x)

Step 1: Flip the equation.

35(0.7x)=0

Step 2: Divide both sides by 35.

35(0.7x)

35

=

0

35

0.7x=0

Step 3: Solve Exponent.

0.7x=0

log(0.7x)=log(0)(Take log of both sides)

x*(log(0.7))=log(0)

x=

log(0)

log(0.7)

x=Infinity