Could you help me with my calc work?

Consider the parabola given by y = f(x) =8x - x2 (a) Find the slope of the tangent line to the parabola at the point (1, 7). (b) Find an equation of the tangent line in part (a). (c) Graph the parabola and the tangent line. y 20- 10 10 -20 - 10 10 LX 20 -20 -10 10 20 O O y y 20 20 10 10 -20 -10 10 20 -20 -10 10 20 -10 -10 O -20 O -20Find an equation of the tangent line to the curve at the given point, V=x - 2x + 1, (2, 5)Find the equation of the tangent line of the function f(x) = vx at the point (25,5). First, to find the equation of a line, we need two things: a point on the line and the slope of the line. Now, we can find the slope of the line by remembering that the derivative of f(x) at 25 is the slope of the tangent line at (25, 5). From the definition, the derivative of A(x) at 25 is lim Use the specific function and not the generic f(ath) . ...Find an equation of the tangent line to the graph of y = g(x) at x = 2 if g(2) = -4 and g"(2) = 3. (Enter your answer as an equation in terms of y and x )If the tangent line to y = ((x) at (3, 2) passes through the point (0, 1), find ((3) and f'(3). (3) = f'(3) =If ((x) = 9x7 - x3, find f'(2) and use this value to find an equation of the tangent line to the curve y = 9x - x at the point (2, 28)