Find the second derivative of the function. f(x) = -4/x^4 - 11 (x) = ______

Find First Derivative: Find the first derivative of f(x). f'(x) = d/dx(-4/x^4 - 11) Using the power rule, d/dx(x^n) = n*x^(n-1), and the derivative of a constant is 0. f'(x) = d/dx(-4*x^(-4)) - d/dx(11) f'(x) = -4*(-4)*x^(-5) - 0 f'(x) = 16x^(-5)Find Second Derivative: Find the second derivative of f(x). f''(x) = d/dx(16x^(-5)) Using the power rule again, f''(x) = 16*(-5)*x^(-6) f''(x) = -80x^(-6)

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Find the second derivative of the function. $\newline$ $f(x) = -\frac{4}{x^4} - 11$ $\newline$ $x$ = ______

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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{4}{x^4} - 11

\newline

x

= ______

Find First Derivative: Find the first derivative of $f(x)$ . $f'(x) = \frac{d}{dx}(-\frac{4}{x^4} - 11)$ Using the power rule, $\frac{d}{dx}(x^n) = n\cdot x^{(n-1)}$ , and the derivative of a constant is $0$ . $f'(x) = \frac{d}{dx}(-4\cdot x^{-4}) - \frac{d}{dx}(11)$ $f'(x) = -4\cdot(-4)\cdot x^{-5} - 0$ $f'(x) = 16x^{-5}$
Find Second Derivative: Find the second derivative of $f(x)$ . $f''(x) = \frac{d}{dx}(16x^{-5})$ Using the power rule again, $f''(x) = 16*(-5)*x^{-6}$ $f''(x) = -80x^{-6}$