Find the second derivative of the polynomial. f(x) = -2x^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) = -2x^2. To do this, we apply the power rule for differentiation, which states that d/dx [ax^n] = nax^(n-1). Apply Power Rule: Next, we find the second derivative by differentiating f'(x) = -4x again using the power rule.

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

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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) = -2x^2

\newline

Write your answer as a polynomial in

x

or as a constant. Simplify any fractions.

\newline

f''(x) =

______

Find First Derivative: First, we need to find the first derivative of the polynomial $f(x) = -2x^2$ . To do this, we apply the power rule for differentiation, which states that $\frac{d}{dx} [ax^n] = nax^{(n-1)}$ .
Apply Power Rule: Next, we find the second derivative by differentiating $f'(x) = -4x$ again using the power rule.