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y=4x^(2)+1

$9$ ) $y=4 x^{2}+1$

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Evaluate integers raised to rational exponents

Full solution

Q.

9

)

y=4 x^{2}+1

Identify function: Identify the function to differentiate. $\newline$ $y = 4x^2 + 1$
Apply power rule: Apply the power rule for differentiation to the term $4x^2$ . The derivative of $4x^2$ with respect to $x$ is $8x$ .
Differentiate constant term: Differentiate the constant term $+1$ . The derivative of a constant is $0$ .
Combine derivatives: Combine the derivatives of the terms. $\newline$ The derivative of $y$ with respect to $x$ is $8x + 0$ .
Simplify derivative: Simplify the derivative. $\newline$ The simplified derivative is $8x$ .

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