Question

differentiate the function y = 1/x. Express the derivative using Leibniz notation

Answer 1

@JSVSL7 please help :)

Answer 2

do i replace the x from F(x+h)-F(x)/h with 1/x?

Answer 3

what do you mean by "how did you call for me"? sorry, i don't get it

Answer 4

so this is what i mean ...one second.

Answer 5

f(x+h)-f(x)/h = f(1/4+h)-f(1/4)all over h

Answer 6

correct me if i'm wrong... the first derivative represents the avg speed, the second derivative represents the acceleration and what does the third derivative rep?

Answer 7

oh i thought the 3rd derivative might mean something ...hmm anyways. thanks

Answer 8

Then
y
=
x
√
x
−
4
√
x
=
x
3
2
−
4
x
1
2

Differentiate using the power rule.
d
y
d
x
=
(
3
2
)
x
1
2
−
2
x
−
1
2

=
(
3
2
)
x
1
2
−
2
x
1
2

=
(
3
√
x
2
)
−
2
√
x

Get a common denominator of
2
√
x
, and
you'll arrive at their answer.

Answer 9

there

Answer 10

I just learned this in advanced

Answer 11

did I do it right?

Answer 12

The definition of the deivative of a function f(x) according to Leibniz is

\[f'(x)=\lim _{h \rightarrow 0} \frac{ f(x+h) -f(x)}{ _{} h}\]

Here

\[f(x)= 1/x\]

You can continue.......