Start with sin(x) above. What do you think the derivative function will look like? Make a guess and then click on the left side of the box that says d/dx f(x) to reveal the derivative function.
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Can you identify that that function is, how to write it algebraically? Make a guess, then graph your guess by just typing it into an empty box below. If you are correct, write down your results. If you are not correct, make another guess or move on find the derivative of another function.
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To find the derivative of another function, change sin(x) to another function. Make sure you work with cos(x), tan(x), e^x, and ln(x). Write up your conclusions.
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Examples
Lines: Slope Intercept Form
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Lines: Point Slope Form
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Lines: Two Point Form
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Parabolas: Standard Form
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Parabolas: Vertex Form
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Parabolas: Standard Form + Tangent
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Trigonometry: Period and Amplitude
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Trigonometry: Phase
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Trigonometry: Wave Interference
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Trigonometry: Unit Circle
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Conic Sections: Circle
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Conic Sections: Parabola and Focus
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Conic Sections: Ellipse with Foci
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Conic Sections: Hyperbola
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Polar: Rose
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Polar: Logarithmic Spiral
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Polar: Limacon
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Polar: Conic Sections
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Parametric: Introduction
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Parametric: Cycloid
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Transformations: Translating a Function
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Transformations: Scaling a Function
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Transformations: Inverse of a Function
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Statistics: Linear Regression
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Statistics: Anscombe's Quartet
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Statistics: 4th Order Polynomial
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Lists: Family of sin Curves
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Lists: Curve Stitching
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Lists: Plotting a List of Points
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Calculus: Derivatives
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Calculus: Secant Line
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Calculus: Tangent Line
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Calculus: Taylor Expansion of sin(x)
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Calculus: Integrals
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Calculus: Integral with adjustable bounds
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Calculus: Fundamental Theorem of Calculus
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