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- find the slope of a curve y = x2-2x-2 at the point P(3,1) by finding the limit of the secant slopes through point PFind the point (x0,y0) on the graph y=x^3 + 6x^2 +3x -5 at which the slope of the tangent line has its minimum value (enter your answer as a coordinate point in the form (* , *) (x0,y0) = _____________________Find the slope of the curve y=x2−3x−4 at the point P(2,−6) by finding the limiting value of the slope of the secant lines through point P.
- find all points (x,y) on the graph of f(x)=3x^2-5x with tangent lines parallel to the line y=7x+1.Find all points (x, y) on the graph of ƒ(x) = 3x2 - 4x with tangent lines parallel to the line y = 8x + 5.Find the slope of the curve y=x^3-3 at the point P(-2,-11) by finding the limiting value of the slope of the secants through P
- Using the limit definitoin of the derivative, comput the derivative of the function. x^3+3x^2+x+3 b) Which positions x does the graph of y=x^3+3x^2+x+3 have a horizontal tangent line?Find the coordinates of the point (x,y) on the curve y=2x+1 that is closest to the point (6,3) .{ Hint: find the minimum of the square of the distance) . use a derivative test to verify that your answer is optimalFind all points (x,y) on the graph of f(x)=2x^2−5x with tangent lines parallel to the line y=3x+1.