Find (dy)/(dx) for the given function. (dy)/(dx)=◻=x^(2)-csc(x)+5

Differentiate Terms: step_1: Differentiate each term of the function separately. The derivative of x^2 with respect to x is 2x. The derivative of -csc(x) with respect to x is -(-csc(x)cot(x)) because the derivative of csc(x) is -csc(x)cot(x). The derivative of a constant, like 5, with respect to x is 0.Combine Derivatives: step_2: Combine the derivatives of each term to find the overall derivative. (dy)/(dx) = 2x - (-csc(x)cot(x)) + 0Simplify Expression: step_3: Simplify the expression. (dy)/(dx) = 2x + csc(x)cot(x)

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Find $\frac{dy}{dx}$ for the given function. $\newline$ $\frac{dy}{dx}=\square=x^{2}-\csc(x)+5$

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Q. Find

\frac{dy}{dx}

for the given function.

\newline

\frac{dy}{dx}=\square=x^{2}-\csc(x)+5

Differentiate Terms: step_1: Differentiate each term of the function separately. $\newline$ The derivative of $x^2$ with respect to $x$ is $2x$ . $\newline$ The derivative of $-\csc(x)$ with respect to $x$ is $-(-\csc(x)\cot(x))$ because the derivative of $\csc(x)$ is $-\csc(x)\cot(x)$ . $\newline$ The derivative of a constant, like $5$ , with respect to $x$ is $x$ $0$ .
Combine Derivatives: step_2: Combine the derivatives of each term to find the overall derivative. $\newline$ $(\frac{dy}{dx}) = 2x - (-\csc(x)\cot(x)) + 0$
Simplify Expression: step_3: Simplify the expression. $\newline$ $(\frac{dy}{dx}) = 2x + \csc(x)\cot(x)$