Hello I need some help with these 4 questions. If you could please show me all your work on a separate sheet of paper with the solutions/answers that would be great!

1. Use Desmos to find the slope of the tangent to the curve y = sin(x) at each x value given in the following table and then find a trig equation that will pass 3. a) Use Desmos to find the slope of the tangent to the curve y = sin(2x) at through these points. State the equation. each x value given in the following table and then find a trig equation that will Slope of Tangent pass through these points. State the equation. 0 Slope of Tangent 0 F/2 3*/4 2x 2. Use Desmos to find the slope of the tangent to the curve y = cos(x) at each x value given in the following table and then find a trig equation that will pass b) Make an educated guess as to what the derivative would be for y = cos(2x) through these points. State the equation. without finding the slopes of the tangents. Explain how you came up with this Slope of Tangent answer.| 0 c) Make an educated guess as to what the derivative would be for y = -cos(3x) without finding the slopes of the tangents. Explain how you came up with this #/2 answer.| answer.| 4. State the derivative of the following functions. 31/2 a) f(x) = 5sin(5x) b) g(x) = -4cos(3x) c) f(x) = -10sin(2x) + 10cos(3x)