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y=cos(5x^(2))

$y=\cos \left(5 x^{2}\right)$

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Evaluate integers raised to positive rational exponents

Full solution

Q.

y=\cos \left(5 x^{2}\right)

Identify Function & Variable: Identify the function and the variable. $\newline$ We have $y = \cos(5x^{2})$ , where $\cos$ is the cosine function and $x$ is the variable.
Recognize Inner Function: Recognize the inner function. $\newline$ The inner function is $5x^{2}$ , which means ＂ $5$ times $x$ squared.＂
Apply Cosine Function: Apply the cosine function. $\newline$ To simplify, we apply the cosine function to the inner function, resulting in $y = \cos(5x^{2})$ . This is the simplified form since cosine functions do not simplify further without specific values for $x$ .

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