Find the Derivative of Y with Respect to X $$y = 2 x ^ { 4 } \sin ^ { - 1 } x$$

question 377

Multiple Choice

Find the derivative of y with respect to x.
- $$y = 2 x ^ { 4 } \sin ^ { - 1 } x$$

• A) \(\frac { 2 x ^ { 4 } } { \sqrt { 1 - x ^ { 2 } } } + 8 x ^ { 3 } \sin ^ { - 1 } x\)
• B) \(\frac { 2 x ^ { 4 } } { \sqrt { 1 - x ^ { 2 } } }\)
• C) \(\frac { 2 x ^ { 4 } } { 1 + x ^ { 2 } } + 8 x ^ { 3 } \sin ^ { - 1 } x\)
• D) \(\frac { 1 } { \sqrt { 1 - x ^ { 2 } } } + 8 x ^ { 3 }\)

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Definitions:

Ionic Bond

A chemical bond formed between two ions with opposite charges through the electrostatic attraction between the ions, typically formed between a metal and a non-metal.

Covalent Bond

A chemical bond formed by the sharing of one or more pairs of electrons between atoms, contributing to the molecule's stability.

Hydrogen Bond

A slight bond between two molecules due to the electrostatic draw between a proton in one and an electronegative atom in the opposite molecule.

Atoms

The basic unit of a chemical element, consisting of a nucleus of protons and neutrons, and electrons orbiting the nucleus.