Constructing the Graph of the Derivative of f(x)=sin(x)
Author: Jamie Mulholland

Move the point T along the graph of y=sin(x) by moving the slider.  The slope function (derivative) is then traced out in blue.

Can you identify the graph of the derivative?

y=cos(x)

f(x) = \sin{x}

y = f'(x)

y=cos(x)

tangent

The Derivative of 

y' = \cos{(x)}

seems to be

y=\sin{(x)}

f(x) = sin(x)
x_0 = 0 (slider from -5 to 15, step 0.05)
T: (x_0, f(x_0))
TangentLine = Tangent(x_0, f)
s = Slope(TangentLine)
B: (x(T), s)
f' = Derivative(f)
b = false
P: (x_0, 0.0)
T2: "x = " + x_0
T3: "x = " + x_0
TangentSegment = Function(f(x(P)) + f'(x(P)) * (x - x(P)), x(P) - 1.5, x(P) + 1.5)