Question

1. Find the derivative of lign="absmiddle" class="latex-formula"> at x=-2
2. Find the derivative of f(x)=-9/x at x=6

Answer 1

1) Answer: $-\frac{3}{2}$

Step-by-step explanation:

f(x) = 6x⁻¹

f'(x) = -6x⁻²

     = $\frac{-6}{x^{2}}$

f'(-2) = $\frac{-6}{(-2)^{2}}$

        = $-\frac{6}{4}$

        = $-\frac{3}{2}$

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2) Answer: $\frac{1}{4}$

Step-by-step explanation:

f(x) = -9x⁻¹

f'(x) = 9x⁻²

     = $\frac{9}{x^{2}}$

f'(6) = $\frac{9}{(6)^{2}}$

        = $\frac{9}{36}$

        = $\frac{1}{4}$