Find the second derivative of the function. f(x) = 2/x + 10 (x) = ______

Find First Derivative: First, let's find the first derivative of f(x) = 2/x + 10. f'(x) = d/dx (2/x) + d/dx (10) = -2/x^2 + 0 = -2/x^2Find Second Derivative: Now, let's find the second derivative, which is the derivative of f'(x). f''(x) = d/dx (-2/x^2) = 4/x^3

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Find the second derivative of the function. $\newline$ $f(x) = \frac{2}{x} + 10$ $\newline$ $f''(x) =$ $\_\_\_\_\_\_$

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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{2}{x} + 10

\newline

f''(x) =

\_\_\_\_\_\_

Find First Derivative: First, let's find the first derivative of $f(x) = \frac{2}{x} + 10$ . $f'(x) = \frac{d}{dx} (\frac{2}{x}) + \frac{d}{dx} (10)$ $= -\frac{2}{x^2} + 0$ $= -\frac{2}{x^2}$
Find Second Derivative: Now, let's find the second derivative, which is the derivative of $f'(x)$ . $f''(x) = \frac{d}{dx} \left(-\frac{2}{x^2}\right)$ $= \frac{4}{x^3}$