Derivatives of Trigonometric Functions · Derivatives of Trigonometric Functions. 11B Derivatives Trig 2 Use the definition of the derivative to find D x(sin x). The derivative of

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Derivatives of Trigonometric Functions

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Use the definition of the derivative to find Dx(sin x).

The derivative of f(x) = sin x

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The derivative of f(x) = cos x

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Here is a graph of y = tan x (black) and its derivative (green). Can you guess what its derivative might be?

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EX 1 Find y' for these functions.

a)

b)

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c)

d)

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EX 2 Find the equation of the tangent line to y = cot x at x = π/4

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