Exercise 17.5 1. If f (x) =3x2 -4x, find the value of a given that f'(a) = 5 2. If f (x) = x3 +1, find the value of a given that f"(a)=24 3, Find the gradient of the curve y = x2 + 6x-4 at the point where the curve cuts the y - axis. d. Find the coordinates of the points where the curve y=x - x-12 cuts the x-axis and determine the gradient of y = x2 -x-12 at these points. 5. Find the equation of the tangent to the curve My= 2x2 - 5x +1 at the point (2, -5) 6, The line y = 4x -5 cuts the curve = x2 -2x at two points. Find the gradient of y= x? - 2x at these two points. 7, The gradient of y = x2 -4x +6at (3, 3) is the same as the gradient of y = 8x -3x at (a, b). Find the values of a and b. 8, Find the equation of tangent and normal to the