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Message: <blockquote data-quote="nimaz" data-source="post: 3821748" data-attributes="member: 8965">Theory:For a function: y = f(x), a stationary point is a point on the function graph where the gradient of the function is zero.If the gradient of the function changes sign at the stationary point, then it is called a turning point, which can be a maximum or minimum If f''(x) < 0, the stationary point at x is a maxima If f''(x) > 0, the stationary point at x is a minima If f''(x) = 0, the stationary point at x is a point of inflexion-------------------------------------------------------------------------------------------------------------------this is the answer!Y= 2X + (6/X)Y= 2X + 6X^(-1)dy/dx = 2 - 6X^(-2) (to find the stationary point)therefore0= 2 - 6X^(-2)OR0= 2 - 6/(X^2)6/(X^2) = 26 = 2(X^2)3= (X^2)X = (+ OR - ) (SQUARE ROOT OF 3)SUB X = (+ OR - ) (SQUARE ROOT OF 3) IN Y= 2X + (6/X)TO GET THE Y VALUESTHE NATURE OF EACH POINT... X = + SQUARE ROOT OF 3 Y =......IS A MINIMA X = - SQUARE ROOT OF 3 Y = ......IS A MAXIMAGOOD LUCK <img src="/styles/default/xenforo/smilies/default/happy.gif"  class="smilie" loading="lazy" alt=":)" title="Happy    :)" data-shortname=":)" /></blockquote>

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