Question

Find the derivative of the function using the definition of derivative. f(x)=1/2x-1/3?​

Answer 1

Answer:

We wouldn't use the power rule for this function.

We would, however, use the rule of multiplication by constant.

In general:

d

d

x

(

c

f

)

=

c

⋅

d

d

x

f

Also, keep in mind that:

d

d

x

(

c

)

=

0

Similarly, your function in these terms would look like:

f

(

x

)

=

c

1

f

−

c

2

Where:

c

1

=

1

2

and

c

2

=

1

3

∴

d

d

x

(

1

2

x

−

1

3

)

=

1

2

⋅

1

−

0

=

1

2