Find the second derivative of the polynomial. f(x) = 15x^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) = 15x^2. To do this, we apply the power rule for differentiation, which states that d/dx[x^n] = nx^(n-1). Find Second Derivative: Next, we find the second derivative by differentiating the first derivative. Again, using the power rule, we differentiate 30x.

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Find the second derivative of the polynomial. $\newline$ $f(x) = 15x^2$ $\newline$ 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) = 15x^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 $f(x) = 15x^2$ . To do this, we apply the power rule for differentiation, which states that $\frac{d}{dx}[x^n] = nx^{n-1}$ .
Find Second Derivative: Next, we find the second derivative by differentiating the first derivative. Again, using the power rule, we differentiate $30x$ .