Question

Find dy/dx when y=1/x² +1/√x​

Answer 1

Answer:

Y

=

(

x

+

1

)

(

x

2

−

1

)

Differentiate both sides of the equation.

d

d

x

(

Y

)

=

d

d

x

(

(

x

+

1

)

(

x

2

−

1

)

)

The derivative of  

Y

with respect to  

x

is  

Y

'

.

Y

'

Differentiate the right side of the equation.

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3

x

2

+

2

x

−

1

Reform the equation by setting the left side equal to the right side.

Y

'

=

3

x

2

+

2

x

−

1

Replace  

Y

'

with  

d

Y

d

x

.

d

Y

d

x

=

3

x

2

+

2

x

−

1

Explanation:

Answer 2

Explanation:

$- 3x {}^{ - 3} - \frac{3}{2} x {}^{ - \frac{3}{2} }$