Question

maximum value of x^5-3x^4+5

Answer 1

QUESTION

Function f(x)=x

2

−3x+4 has minimum value of x is

ANSWER

Given, f(x)=x

2

−3x+4

⇒f

′

(x)=2x−3

⇒f"(x)=2

For critical points. f

′

(x)=0

⇒2x−3=0

⇒x=

2

3

At x=

2

3

,f"(

2

3

)=2>0

Hence, f(x) has a minimum value of x=

2

3

.

Therefore, the correct answer from the given alternatives is option D.