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consider the curve defined by y2=x3−3x 3 for x>0. at what value of x does the curve have a horizontal tangent?

Sagot :

3/2 ± √-3/2 is value of x does the curve have a horizontal tangent in quartic equation.

What does quartic equation mean?

A quartic equation, also known as an equation of the fourth degree, is an equation of the form that reduces a quartic polynomial to zero. in which a 0. A cubic function is a quartic function's derivative.

f(x) = x³−3x + 3

0 = x³−3x + 3

  x = 3 ± √( -3)² - 4 * 1 * 3/2 * 1

   x = 3 ± √9 - 12/2

   x = 3 ± √-3/2

   x =  3/2 ± √-3/2

Learn more about quartic equation

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