Final answer:
To differentiate an explicit function, you need to use the rules of differentiation. Depending on the explicit function given, you will use different rules of differentiation such as the power rule, product rule, quotient rule, or chain rule. By applying these rules, you can find the derivative of the explicit function.
Step-by-step explanation:
The given question is asking to differentiate the explicit functions. The symbol dy/dx represents the derivative of y with respect to x, which is the rate of change of y with respect to x. The ± symbol is asking for both positive and negative derivatives.
To differentiate an explicit function, you need to use the rules of differentiation. Differentiation is the process of finding the derivative of a function. Depending on the explicit function given, you will use different rules of differentiation such as the power rule, product rule, quotient rule, or chain rule. By applying these rules, you can find the derivative of the explicit function.
For example, if the explicit function is y = x^2, the derivative will be dy/dx = 2x. If you want both positive and negative derivatives, you can write dy/dx = ±2x.