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- find tangent line to the curve y=3x/7-x at a point of (-3,2/7)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 the slope of the tangent line at point (-2,2) on the curve f(x) = 2 x2 + 3xusing First Principles.
- find all points (x,y) on the graph of f(x)=3x^2-5x with tangent lines parallel to the line y=7x+1.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 all the points on the graph of y=f(x) at which the tangent line has the given slope. f(x)=2x3-3x2-31x, slope=5
- Find all points (x,y) on the graph of f(x) = 2x3 + 1 with tangent lines perpendicular to the line y= 3 - (1/6)xFind 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.For every solution of the equation y' + 2xy = x it is true that limx→∞ y(x) = 1. true or false ?