Question

(a) Find the differential dy and (b) evaluate dy for the given values of x and dx .

Answer 1

Step 1:

(a)

The function is

Differentiate the function with respect to .

Use the property :

Apply power rule of derivatives :.

Apply constant rule of derivatives :

Hence,

The differential function is .

Step 2:

(b)

The differential function is .

Substitute in above function.

Solution :

(a)

The differential function is .

(b)