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3.3

Derivatives of Trigonometric Functions

Derivatives of Trigonometric Functions

$$\begin{gathered} \frac{d}{dx}(\sin x) = \cos x \\ \frac{d}{dx}(\cos x) = -\sin x \\ \frac{d}{dx}(\tan x) = se{c}^2 x \\ \frac{d}{dx}(csc x) = -csc x cot x \\ \frac{d}{dx}(sec x) = sec x \tan x \\ \frac{d}{dx}(cot x) = -cs{c}^2 x \end{gathered}$$

The derivatives of the trigonometric functions are on the table. Note that the derivatives for csc, sec, and cot can all be obtained using the Product Rule in chapter 3.2. Remember, anything that starts with "co-" has a negative derivative.

Links

• Home
• 3.1: Derivatives of Polynomials and Exponential Functions
• 3.2: The Product and Quotient Rules
• 3.3: Derivatives of Trigonometric Functions
• 3.4: The Chain Rule
• 3.5: Implicit Differentiation
• 3.6: Steps in Logarithmic Differentiation
• 3.7: Rates of Change in the Natural and Social Sciences
• 3.8: Exponential Growth and Decay
• 3.9: Related Rates
• 3.10: Linear Approximations and Differentials
• 3.11: Hyperbolic Functions