Question

for the function y=f(x) the point of maxima is the value of x at which​

Answer 1

Answer:

0

Step-by-step explanation:

The given information is f(x) has a relative minimum at x = 0. Hence  

f  

′

(x)=0 at x=0

⇒f  

′

(0)=0

Now the given equation is:

y=f(x)+ax+b

To find the extremum points we differentiate and equate it to zero

⇒y  

′

=f  

′

(x)+a

⇒f  

′

(x)+a=0

Now for the function y to have a relative minimum ar x=0 we have to have

f  

′

(0)+a=0

⇒a=0.

Hence b can have any values as it is not involved in the derivative function and a must be equal 0 to get a relative minimum for y at x=0.      ....Answer