Trigonometry Differentiation Rules
This discussion will focus on the basic trigonometric differentiation rules.
FUNCTION |
DERIVATIVE |
FUNCTION |
DERIVATIVE |
|
cos x |
|
-csc x cot x |
|
-sin x |
|
sec x tan x |
|
sec2 x |
|
-csc2 x |
Let's look at some examples:
Step 1: Apply the Constant Multiple Rule.
|
Constant Mul. |
Step 2: Take the derivative of tan x. |
20sec2 x Tangent Rule |
Step 1: Apply the product rule.
|
|
Step 2: Take the derivative of each part. Apply the appropriate trigonometric differentiation rule. |
Sine Rule __________________________
Cosine Rule |
Step 3: Substitute the derivatives & simplify. |
|
Step 1: Apply the quotient rule.
|
|
Step 2: Take the derivative of each part. Apply the appropriate trigonometric differentiation rule. |
Original Sum Rule 0 + cos x Constant/Sine cos x __________________________ Original -sin x Sine Rule -sin x |
Step 3: Substitute the derivatives & simplify. |
|
Related Links: Math algebra Inverse Trigonometric Differentiation Rules Logarithmic Differentiation Algebra Topics |
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