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 through these points. State the equation. Slope of Tangent 0 TE / 4 71 / 2 3 7/4 57/4 37/ 2 2 TE 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 through these points. State the equation. Slope of Tangent 0 7 / 2 371/4 5 71/4 3 71 / 2 7 / 2 TT 3. a) Use Desmos to find the slope of the tangent to the curve y = sin(2x) at each x value given in the following table and then find a trig equation that will pass through these points. State the equation. Slope of Tangent 0 7 / 4 7 / 2 37/ 4 5 71 / 37 / 2 7 7/ 4 2 TE b) Make an educated guess as to what the derivative would be for y = cos(2x) without finding the slopes of the tangents. Explain how you came up with this answer.| 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 answer.| 4. State the derivative of the following functions. a) f(x) = 5sin(5x) b) g(x) = -4cos(3x) c) f(x) = -10sin(2x) + 10cos(3x)