The function f(x)=9x+2^x−1 has one local minimum and one local maximum.
This function has a local minimum at x equals with value
and a local maximum at x equals
with value

Question

The function f(x)=9x+2^x−1 has one local minimum and one local maximum. 
This function has a local minimum at x equals  with value  
and a local maximum at x equals  
with value

anonymous · Answer

DO U HAVE ANSWER CHOICES

anonymous · Answer

no they didnt give me answer choices

anonymous · Answer

this
 f(x)=9x+2x−1
is a line
u forget one exponent i think

anonymous · Answer

let me rewrite it is 9x+2x^-1

anonymous · Answer

again find the derivative and the n the critical points

stamp · Answer

$$f(x)=9x+2x^{-1},\ f(x)=9x+2/x$$$$f'(x)=9-2/x^2$$Find x when f'(x) = 0$$f'(x)=9-2/x^2$$$$0=9-2/x^2$$$$x^2=9/2$$$$x=±\sqrt2/3$$

stamp · Answer

Test it for max and min at the positive x and negative x values