...3. Use the Quotient Rule to find the derivatives of the ... functions find the 1) first and second derivative, 2) explain ...3) − 8 < 0 , X=1/3 is a maximum point. ...

... Thanks for using BrainMass. Related rates are investigated using derivatives. ... dz 2 x + 1 dx dx = = 3 cm/s. So at the point (4,2) , we Then we get . ...

... Differentiating we have the two derivatives: ... that is, the sign of the second derivative clearly changes ... this gives the coordinates of the point of inflexion as. ...

... 1. Consider the function a) Determine the critical points. ... Apply the quotient rule carefully to find derivative.). ... 4. Determine the derivatives of the following ...

Calculus Problems : Continuity, Limits, Derivatives, Inequalities, Quadratic ... 5. Determine points of discontinuity, if any, for ... 6. What is the derivative of the ...

... x^4-6x^3+12x^2 and its first and second derivatives. ... and relative at x=2. So f has inflection points at x ... and x=2. The green curve is the second derivative f''(x ...

... 2. Determine derivatives (with respect to x) for the ... Determine dx e. Determine the partial derivative with respect ... any maxima, minima, or saddle points for f ...

... Graphing of the function f(x) = |x|x in the range -3 ≤ x ≤ 3, -2 ≤ y ... In part (f0 we derived a formula for the slope at any point ie the derivative of f ...

... the attached file (word problems, inflection, critical points, and derivatives). ... 3x 2 − 6 x − 9 The second derivative is f ... (b) the critical points: f ' ( x ...

... D) What are the derivatives f'(0) and f'(1), and how ... they relate to the slopes of the tangent lines to these points? F'(0) = 6*(0)^2 - 8*0 +3 = 3 F'(1) = 6*(1 ...