Find the second derivative of the polynomial. f(x) = -11x^2 Write your answer as a polynomial in x or as a constant. Simplify any fractions. (x) = ______

Find First Derivative: First, we need to find the first derivative of the polynomial f(x) = -11x^2. Using the power rule, which states that d/dx[x^n] = nx^(n-1), we apply it here: d/dx[-11x^2] = -11 * 2x^(2-1) = -22x Find Second Derivative: Next, we find the second derivative of the polynomial by differentiating -22x. Again, using the power rule: d/dx[-22x] = -22 * 1x^(1-1) = -22 * 1 = -22

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Find the second derivative of the polynomial. $\newline$ $f(x) = -11x^2$ $\newline$ Write your answer as a polynomial in $x$ or as a constant. Simplify any fractions. $\newline$ $(x) =$ ______

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Calculus

Find higher derivatives of polynomials

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Q. Find the second derivative of the polynomial.

\newline

f(x) = -11x^2

\newline

Write your answer as a polynomial in

x

or as a constant. Simplify any fractions.

\newline

(x) =

______

Find First Derivative: First, we need to find the first derivative of the polynomial $f(x) = -11x^2$ . Using the power rule, which states that $\frac{d}{dx}[x^n] = nx^{(n-1)}$ , we apply it here: $\newline$ $\frac{d}{dx}[-11x^2] = -11 \times 2x^{(2-1)} = -22x$
Find Second Derivative: Next, we find the second derivative of the polynomial by differentiating $-22x$ . Again, using the power rule: $\newline$ $\frac{d}{dx}[-22x] = -22 \times 1x^{1-1} = -22 \times 1 = -22$