Question

Find the derivative of f(x) =-5/x at x=11

Answer 1

Derivative of 1/x is -1/x^2

Answer 2

@johnweldon1993

Answer 3

can u try?

Answer 4

yes

Answer 5

Right you should definitely try this out first

\[\large f(x) = \frac{-5}{x}\]

We know 5 is just multiplying whatever answer we get, so we can factor that out for now

\[\large 5(f(x)) = \frac{1}{x}\]

So as stated above, the derivative of 1/x = -1/x^2

so

\[\large 5 \times -\frac{1}{x^2} =?\]

Answer 6

And so all you do after this, is plug in 11 for 'x' and see what result you get

Answer 7

Sorry put an extra '-' sign up there

Since we did the derivative of -1/x we should have canceled out the '-' sign

so

\[\large \frac{5}{x^2}\]

Now you just plug in 11 for 'x'

Answer 8

so my answer is 5/121?