Question

Find the slope of the graph of the function 6(x^2-y^2)^2=200xy at the point (-3,-1)

Answer 1

Answer:

The slope of a curve of

y

=

f

(

x

)

at

x

=

a

is

f

'

(

a

)

.

Let us find the slope of

f

(

x

)

=

x

3

−

x

+

2

at

x

=

1

.

By taking the derivative,

f

'

(

x

)

=

3

x

2

−

1

By plugging in

x

=

1

,

f

'

(

1

)

=

3

(

1

)

2

−

1

=

2

Hence, the slope is

2

.