What is the derivative of -cot(2x)?

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]:                                                          

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]:                                                                                

Explanation:

Step 1: Define

Identify

Step 2: Differentiate

Trigonometric Differentiation [Derivative Rule - Chain Rule]:                   Simplify:                                                                                                         Basic Power Rule [Derivative Property - Multiplied Constant]:                

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

To solve this integral, what you can do is split it up as follows: (1) ∫40(x2−4)dx=∫40(x2)dx−∫40(4)dx. to integrate  4  as an  indefinite integral, a good rule of thumb is  by  an equation below  for  polynomials; . (2) ∫xa=xa+1a+1+c , where a is any number. c denotes some constant that is crucial when doing 

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