mathematics simple questions

can anybody do it with in 10 hours? i just want perfect work. dont response without reading task i want expert only dont waste my time please.

Name________________________

Directions: For each category see if you can devise the rule(s) that was used to find the derivative(s) and then use it to find the derivatives of the functions that follow.

Category 1: Sine and Cosine

1. Function: 3. Function:

Derivative: Derivative:

2.

Function: 4. Function:

Derivative: Derivative:

What is the formula for the derivative of Sine? What about for Cosine? What role does the chain rule play in these formulas?

Find the derivatives of the following:

1. 2.

Category 2: Tangent and Cotangent

1. Function: 3. Function:

Derivative: Derivative:

2. Function: 4. Function:

Derivative: Derivative:

What is the formula for the derivative of Tangent? What about for Cotangent?

Find the derivatives of the following:

1. 2.

Category 3: Secant and Cosecant

1. Function: 3. Function:

Derivative: Derivative:

2. Function: 4. Function:

Derivative: Derivative:

What is the formula for the derivative of Secant? What about for Cosecant?

Find the derivatives of the following:

1. 2.

Combining Rules

1. If what rule that we have previously learned should we use to find its derivative? Use that rule to find the derivative of f(x).

2. If what rule that we have previously learned should we use to find its derivative? Use that rule to find f’(x).

3. If what rule that we have previously learned should we use to find its derivative? Use that rule to find f’(x).

Find the derivatives:

1. 3.

2.

Part II: Inverse Trigonometric Functions

Category 1: ArcSine and ArcCosine

Please Note you will also see these functions as

3. Function: 3. Function:

Derivative: Derivative:

4. Function: 4. Function:

Derivative: Derivative:

What is the formula for the derivative of ArcSine? What about for ArcCosine?

Find the derivatives of the following:

2. 2.

Category 2: ArcTangent and ArcCotangent

Please note you will also see these functions as

3. Function: 3. Function:

Derivative: Derivative:

4. Function: 4. Function:

Derivative: Derivative:

What is the formula for the derivative of ArcTan? What about for ArcCot?

Find the derivatives of the following:

2. 2.

Category 3: ArcSecant and ArcCosecant

Please note you will also see these functions as

1. Function: 3. Function:

Derivative: Derivative:

2. Function: 4. Function:

Derivative: Derivative:

What is the formula for the derivative of ArcSec? What about for ArcCsc?

Find the derivatives of the following:

2. 2.