Calculus: Derivatives of Trigonometric Functions and Chain Rule

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Last updated 11:09 AM on 8/13/26
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6 Terms

1
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What is the derivative of y = cos(ax)?

The derivative is dy/dx = -a sin(ax).

2
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What is the derivative of y = sec(ax)?

The derivative is dy/dx = a sec(ax)tan(ax).

3
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What is the derivative of y = cosec(ax)?

The derivative is dy/dx = -a cosec(ax)cot(ax).

4
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What is the derivative of y = cot(ax)?

The derivative is dy/dx = -a csc²(ax).

5
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What is the derivative of y = sec²(ax)?

The derivative is dy/dx = 2a sec²(ax)tan(ax).

6
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What is the derivative of y = cosec²(ax)?

The derivative is dy/dx = -2a cosec²(ax)cot(ax).