Find the second derivative of the function. f(x) = 5/x^2 + 17 (x) = ______

Find First Derivative: First, let's find the first derivative of f(x). We use the power rule for derivatives. f'(x) = d/dx (5/x^2) + d/dx (17) = -10/x^3 + 0Calculate Second Derivative: Now, we need to find the second derivative, which is the derivative of f'(x). f''(x) = d/dx (-10/x^3) = 30/x^4

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Find the second derivative of the function. $\newline$ $f(x) = \frac{5}{x^2} + 17$ $\newline$ $f''(x) =$ ______

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Calculus

Find second derivatives of trigonometric, exponential, and logarithmic functions

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Q. Find the second derivative of the function.

\newline

f(x) = \frac{5}{x^2} + 17

\newline

f''(x) =

______

Find First Derivative: First, let's find the first derivative of $f(x)$ . We use the power rule for derivatives. $\newline$ $f'(x) = \frac{d}{dx} (\frac{5}{x^2}) + \frac{d}{dx} (17)$ $\newline$ = -\frac{ $10$ }{x^ $3$ } + $0$
Calculate Second Derivative: Now, we need to find the second derivative, which is the derivative of $f'(x)$ . $f''(x) = \frac{d}{dx} \left(-\frac{10}{x^3}\right)$ $= \frac{30}{x^4}$