Proof – The Power Rule of Differentiation

This video proves the power rule of differentiation.

Proof – The Derivative of Cosine: d/dx[cos(x)]

This video proves the derivative of cosine equals negative sine.

Proof – The Derivative of Sine: d/dx[sin(x)]

This video proves the derivative of sine equals cosine.

The Squeeze Theorem

This video explains the Squeeze (Sandwich) Theorem and provides an example.

Prove the Limit as x Approaches 0 of sin(x)/x

This video explains how to prove the limit as x approaches 0 of sin(x)/x equals 0 using the Squeeze Theorem.

Prove the Limit as x Approaches 0 of (1-cos(x))/x

This video explains how to prove the limit as x approaches 0 of (1-cos(x))/x equals 1 using a trig identity and a special limit involving sin(x).

Prove the Derivative of a Constant: d/dx[c]

This video proves the derivative of a constant equals zero.

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