The twice–differentiable function f is defined for all real numbers and satisfies the following conditions: f(0)=3 f′(0)=5 f″(0)=7 the function g is given by g(x)=eax+f(x) for all real numbers, where a is a constant. find g ′(0) and g ″(0) in terms of a. show the work that leads to your answers. the function h is given by h(x)=cos(kx)[f(x)]+sin(x) for all real numbers, where k is a constant. find h ′(x) and write an equation for the line tangent to the graph of h at x=0. for the curve given by 4x2+y2=48+2xy show that dy dx = y−4x y−x . for the curve given by 4x2+y2=48+2xy, find the positive y-coordinate given that the x-coordinate is 2. for the curve given by 4x2+y2=48+2xy, show that there is a point p with x-coordinate 2 at which the line tangent to the curve at p is horizontal.