Take the derivative of inverse sine with chain rule

The video tutorial covers the differentiation of an inverse sign form, emphasizing the separation of terms and simplification of the resulting expression. It discusses the importance of understanding the manipulation of equations and combining like terms. The tutorial also explores alternative ways to express the equation, ensuring students are aware of different forms and their implications.

What is the derivative of 4X with respect to X?

• 4X

• 0

• X

• 4

In the expression involving the inverse sine function, what is the inside function?

• 2X^2

• X^4

• 4X

• X^2

How is X^2 squared expressed in terms of exponents?

• X^5

• X^2

• X^3

• X^4

What is the simplified form of 4X over the square root of 1 minus 4X to the fourth?

• 4X / (1 - 4X^4)

• 4X / sqrt(1 - 4X^4)

• 4 / sqrt(1 - 4X^4)

• X / sqrt(1 - 4X^4)

Why is it important to recognize equivalent forms of expressions in answer choices?

• To match the exact form in the textbook

• To ensure understanding of the concept

• To memorize all possible forms

• To avoid mistakes in calculations