Mathematics helpp?

Question

Answer 1

a) The function

Apply deriative on each side with respect of x.

Apply the formulae

b) The function

Apply deriative on each side with respect of x.

Apply the product rule in derivatives

 

Product of powers property

.

Answer 2

c) The function

Apply deriative on each side with respect of x .

The quotient rule in deriatives

 

Answer 3

d) The function 

Apply deriative on each side with respect of x .

Apply the formula

From the properties of exponents

Negative exponents property

Answer 4

e) The function

Apply deriative on each side with respect of x .

The quotient rule in derivatives