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almond37 [142]
3 years ago
10

Hey, really need help with this question, thanks. Find the derivative of f(x) = -10/x at x = -12.

Mathematics
1 answer:
Vikki [24]3 years ago
5 0
F(x)=-10/x

The rule for the derivative of a quotient is

if f(x)=g(x)/h(x)

df/dx=((dg/dx)*h(x)-(dh/dx)*g(x))/(h(x))^2

In this case:

df/dx=(-1(-10))/x^2

df/dx=10/x^2, so df/dx(-12)

df/dx(-12)=10/(-12)^2

df/dx(-12)=10/144

df/dx(-12)=5/72
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