Home › JEE Main › mathematics › Application of Derivatives › For $f(x) = x^2 - 4x + 3$, the critical point oc…
For $f(x) = x^2 - 4x + 3$, the critical point occurs at:
A$x = 3$
B$x = 4$
C$x = 2$
D$x = 0$
Answer & Solution
Correct answer: C. $x = 2$
f'(x) = 2x − 4 = 0 ⟹ x = 2.
Related questions
Elasticity of demand is given byProfit is maximised whereMarginal revenue (MR) for a price-taking firm (perfect competition) equalsMarginal cost (MC) isTwo numbers have a sum of $24$. Their product is largest when the numbers areFor $f(x)=3x^4-8x^3+12x^2-48x+25$ on $[0,3]$, the critical point inside the interval isA cylindrical tank of radius $10$ m is filled with wheat at $314$ m$^3$/h. The depth of thThe maximum value of $[x(x-1)+1]^{1/3}$ for $0\le x\le 1$ is