alleryStart learning →Home › AP EAMCET › Mathematics › Differentiation Rules › The parabola y = x^2 - 4x + 5 has a level tangen…
The parabola y = x^2 - 4x + 5 has a level tangent line at x equal to
A4
B-2
C1
D2
Answer & Solution
Correct answer: D. 2
A horizontal tangent needs dy/dx = 2x - 4 = 0, so x = 2.
Related questions
Near a point, the derivative supplies which kind of approximation of the function?For f(x) = 2x^3 - 5x + 1, the slope at x = 1 isRewriting 1/x^2 as x^(-2), its derivative becomesFor positive x, the product x^3 ln x has slope functionThe curve y = x e^x has slope at the origin equal toSquaring the sine, y = sin^2 x, gives a slope function equal toThe common logarithm y = log10 x, for x > 0, has slope functionA bell-type curve y = e^(x^2) changes with x at the rate