Derivative of exponential with trig functions inside chain rule

The video tutorial explains the process of finding derivatives of differentiable functions, focusing on trigonometric functions like cotangent and tangent. It highlights the importance of recognizing patterns in derivative calculations and provides a step-by-step approach to rewriting expressions and applying derivative rules.

What is the primary focus when dealing with differentiable functions?

• Graphing the function

• Solving algebraic equations

• Recognizing patterns in derivatives

• Finding the integral

What is the derivative of the cotangent function?

• Negative secant squared of X

• Negative cosecant squared of X

• Secant squared of X

• Tangent of X

Which of the following is the derivative of the tangent function?

• Negative tangent of X

• Cosecant squared of X

• Negative cotangent of X

• Secant squared of X

What is the key takeaway from the process of finding derivatives?

• Memorizing formulas

• Avoiding complex numbers

• Rewriting expressions and recognizing patterns

• Using a calculator

Why is it important to rewrite expressions when finding derivatives?

• To better understand the pattern

• To simplify the function

• To make it look complex

• To avoid errors